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Finding the Fourth Proportional to 9,913.92, 13,697.28 and 8,437.44

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Solution

The fourth proportional to 9,913.92, 13,697.28 and 8,437.44 is: 11,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.92 : 13,697.28 = 8,437.44 : x
  2. Step 2: Convert to fraction form
    9,913.92/13,697.28 = 8,437.44/x
  3. Step 3: Cross multiply
    9,913.92x = 13,697.28 × 8,437.44
  4. Step 4: Simplify right side
    9,913.92x = 115,569,978.16
  5. Step 5: Solve for x
    x = 115,569,978.16/9,913.92
  6. Step 6: Final answer
    x = 11,657.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.