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Finding the Fourth Proportional to 14,688, 22,017.42 and 8,117.28

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Solution

The fourth proportional to 14,688, 22,017.42 and 8,117.28 is: 12,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688 : 22,017.42 = 8,117.28 : x
  2. Step 2: Convert to fraction form
    14,688/22,017.42 = 8,117.28/x
  3. Step 3: Cross multiply
    14,688x = 22,017.42 × 8,117.28
  4. Step 4: Simplify right side
    14,688x = 178,721,563.02
  5. Step 5: Solve for x
    x = 178,721,563.02/14,688
  6. Step 6: Final answer
    x = 12,167.86

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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.