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Finding the Fourth Proportional to 5,624.68, 7,762.06 and 3,140.68

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Solution

The fourth proportional to 5,624.68, 7,762.06 and 3,140.68 is: 4,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.68 : 7,762.06 = 3,140.68 : x
  2. Step 2: Convert to fraction form
    5,624.68/7,762.06 = 3,140.68/x
  3. Step 3: Cross multiply
    5,624.68x = 7,762.06 × 3,140.68
  4. Step 4: Simplify right side
    5,624.68x = 24,378,146.60
  5. Step 5: Solve for x
    x = 24,378,146.60/5,624.68
  6. Step 6: Final answer
    x = 4,334.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.