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Finding the Fourth Proportional to 23,089, 31,862.84 and 13,153

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Solution

The fourth proportional to 23,089, 31,862.84 and 13,153 is: 18,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089 : 31,862.84 = 13,153 : x
  2. Step 2: Convert to fraction form
    23,089/31,862.84 = 13,153/x
  3. Step 3: Cross multiply
    23,089x = 31,862.84 × 13,153
  4. Step 4: Simplify right side
    23,089x = 419,091,934.52
  5. Step 5: Solve for x
    x = 419,091,934.52/23,089
  6. Step 6: Final answer
    x = 18,151.15

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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.