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Finding the Fourth Proportional to 21,148.64, 31,730.54 and 9,914.12

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Solution

The fourth proportional to 21,148.64, 31,730.54 and 9,914.12 is: 14,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.64 : 31,730.54 = 9,914.12 : x
  2. Step 2: Convert to fraction form
    21,148.64/31,730.54 = 9,914.12/x
  3. Step 3: Cross multiply
    21,148.64x = 31,730.54 × 9,914.12
  4. Step 4: Simplify right side
    21,148.64x = 314,580,381.22
  5. Step 5: Solve for x
    x = 314,580,381.22/21,148.64
  6. Step 6: Final answer
    x = 14,874.73

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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.