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Finding the Fourth Proportional to 10,469.52, 15,728.58 and 6,779.16

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Solution

The fourth proportional to 10,469.52, 15,728.58 and 6,779.16 is: 10,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.52 : 15,728.58 = 6,779.16 : x
  2. Step 2: Convert to fraction form
    10,469.52/15,728.58 = 6,779.16/x
  3. Step 3: Cross multiply
    10,469.52x = 15,728.58 × 6,779.16
  4. Step 4: Simplify right side
    10,469.52x = 106,626,560.39
  5. Step 5: Solve for x
    x = 106,626,560.39/10,469.52
  6. Step 6: Final answer
    x = 10,184.47

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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.