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Finding the Fourth Proportional to 15,282, 21,089.48 and 8,658

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Solution

The fourth proportional to 15,282, 21,089.48 and 8,658 is: 11,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282 : 21,089.48 = 8,658 : x
  2. Step 2: Convert to fraction form
    15,282/21,089.48 = 8,658/x
  3. Step 3: Cross multiply
    15,282x = 21,089.48 × 8,658
  4. Step 4: Simplify right side
    15,282x = 182,592,717.84
  5. Step 5: Solve for x
    x = 182,592,717.84/15,282
  6. Step 6: Final answer
    x = 11,948.22

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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.