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Finding the Fourth Proportional to 10,354.40, 15,525.12 and 6,466.40

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Solution

The fourth proportional to 10,354.40, 15,525.12 and 6,466.40 is: 9,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.40 : 15,525.12 = 6,466.40 : x
  2. Step 2: Convert to fraction form
    10,354.40/15,525.12 = 6,466.40/x
  3. Step 3: Cross multiply
    10,354.40x = 15,525.12 × 6,466.40
  4. Step 4: Simplify right side
    10,354.40x = 100,391,635.97
  5. Step 5: Solve for x
    x = 100,391,635.97/10,354.40
  6. Step 6: Final answer
    x = 9,695.55

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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.