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Finding the Fourth Proportional to 15,663.19, 21,615.51 and 8,590

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Solution

The fourth proportional to 15,663.19, 21,615.51 and 8,590 is: 11,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.19 : 21,615.51 = 8,590 : x
  2. Step 2: Convert to fraction form
    15,663.19/21,615.51 = 8,590/x
  3. Step 3: Cross multiply
    15,663.19x = 21,615.51 × 8,590
  4. Step 4: Simplify right side
    15,663.19x = 185,677,230.90
  5. Step 5: Solve for x
    x = 185,677,230.90/15,663.19
  6. Step 6: Final answer
    x = 11,854.37

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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.