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Finding the Fourth Proportional to 18,300, 25,254.04 and 9,916.52

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Solution

The fourth proportional to 18,300, 25,254.04 and 9,916.52 is: 13,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300 : 25,254.04 = 9,916.52 : x
  2. Step 2: Convert to fraction form
    18,300/25,254.04 = 9,916.52/x
  3. Step 3: Cross multiply
    18,300x = 25,254.04 × 9,916.52
  4. Step 4: Simplify right side
    18,300x = 250,432,192.74
  5. Step 5: Solve for x
    x = 250,432,192.74/18,300
  6. Step 6: Final answer
    x = 13,684.82

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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.