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Finding the Fourth Proportional to 5,069.19, 7,607.19 and 1,782.30

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Solution

The fourth proportional to 5,069.19, 7,607.19 and 1,782.30 is: 2,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.19 : 7,607.19 = 1,782.30 : x
  2. Step 2: Convert to fraction form
    5,069.19/7,607.19 = 1,782.30/x
  3. Step 3: Cross multiply
    5,069.19x = 7,607.19 × 1,782.30
  4. Step 4: Simplify right side
    5,069.19x = 13,558,294.74
  5. Step 5: Solve for x
    x = 13,558,294.74/5,069.19
  6. Step 6: Final answer
    x = 2,674.65

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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.