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Finding the Fourth Proportional to 8,543.92, 12,802.92 and 6,342.36

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Solution

The fourth proportional to 8,543.92, 12,802.92 and 6,342.36 is: 9,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.92 : 12,802.92 = 6,342.36 : x
  2. Step 2: Convert to fraction form
    8,543.92/12,802.92 = 6,342.36/x
  3. Step 3: Cross multiply
    8,543.92x = 12,802.92 × 6,342.36
  4. Step 4: Simplify right side
    8,543.92x = 81,200,727.69
  5. Step 5: Solve for x
    x = 81,200,727.69/8,543.92
  6. Step 6: Final answer
    x = 9,503.92

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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.