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Finding the Fourth Proportional to 15,857.73, 21,893.76 and 9,898.16

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Solution

The fourth proportional to 15,857.73, 21,893.76 and 9,898.16 is: 13,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.73 : 21,893.76 = 9,898.16 : x
  2. Step 2: Convert to fraction form
    15,857.73/21,893.76 = 9,898.16/x
  3. Step 3: Cross multiply
    15,857.73x = 21,893.76 × 9,898.16
  4. Step 4: Simplify right side
    15,857.73x = 216,707,780.52
  5. Step 5: Solve for x
    x = 216,707,780.52/15,857.73
  6. Step 6: Final answer
    x = 13,665.75

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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.