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Finding the Fourth Proportional to 10,380.30, 15,538.05 and 7,464.30

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Solution

The fourth proportional to 10,380.30, 15,538.05 and 7,464.30 is: 11,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.30 : 15,538.05 = 7,464.30 : x
  2. Step 2: Convert to fraction form
    10,380.30/15,538.05 = 7,464.30/x
  3. Step 3: Cross multiply
    10,380.30x = 15,538.05 × 7,464.30
  4. Step 4: Simplify right side
    10,380.30x = 115,980,666.62
  5. Step 5: Solve for x
    x = 115,980,666.62/10,380.30
  6. Step 6: Final answer
    x = 11,173.15

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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.