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Finding the Fourth Proportional to 10,438.92, 14,405.76 and 5,723.12

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Solution

The fourth proportional to 10,438.92, 14,405.76 and 5,723.12 is: 7,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.92 : 14,405.76 = 5,723.12 : x
  2. Step 2: Convert to fraction form
    10,438.92/14,405.76 = 5,723.12/x
  3. Step 3: Cross multiply
    10,438.92x = 14,405.76 × 5,723.12
  4. Step 4: Simplify right side
    10,438.92x = 82,445,893.17
  5. Step 5: Solve for x
    x = 82,445,893.17/10,438.92
  6. Step 6: Final answer
    x = 7,897.93

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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.