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Finding the Fourth Proportional to 10,603.20, 15,904.80 and 6,156.30

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Solution

The fourth proportional to 10,603.20, 15,904.80 and 6,156.30 is: 9,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.20 : 15,904.80 = 6,156.30 : x
  2. Step 2: Convert to fraction form
    10,603.20/15,904.80 = 6,156.30/x
  3. Step 3: Cross multiply
    10,603.20x = 15,904.80 × 6,156.30
  4. Step 4: Simplify right side
    10,603.20x = 97,914,720.24
  5. Step 5: Solve for x
    x = 97,914,720.24/10,603.20
  6. Step 6: Final answer
    x = 9,234.45

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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.