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Finding the Fourth Proportional to 10,509.90, 15,765 and 4,505.19

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Solution

The fourth proportional to 10,509.90, 15,765 and 4,505.19 is: 6,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.90 : 15,765 = 4,505.19 : x
  2. Step 2: Convert to fraction form
    10,509.90/15,765 = 4,505.19/x
  3. Step 3: Cross multiply
    10,509.90x = 15,765 × 4,505.19
  4. Step 4: Simplify right side
    10,509.90x = 71,024,320.35
  5. Step 5: Solve for x
    x = 71,024,320.35/10,509.90
  6. Step 6: Final answer
    x = 6,757.85

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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.