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Finding the Fourth Proportional to 3,527.68, 5,291.52 and 1,219

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Solution

The fourth proportional to 3,527.68, 5,291.52 and 1,219 is: 1,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.68 : 5,291.52 = 1,219 : x
  2. Step 2: Convert to fraction form
    3,527.68/5,291.52 = 1,219/x
  3. Step 3: Cross multiply
    3,527.68x = 5,291.52 × 1,219
  4. Step 4: Simplify right side
    3,527.68x = 6,450,362.88
  5. Step 5: Solve for x
    x = 6,450,362.88/3,527.68
  6. Step 6: Final answer
    x = 1,828.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.