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Finding the Fourth Proportional to 15,702.84, 21,668.90 and 8,988.52

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Solution

The fourth proportional to 15,702.84, 21,668.90 and 8,988.52 is: 12,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.84 : 21,668.90 = 8,988.52 : x
  2. Step 2: Convert to fraction form
    15,702.84/21,668.90 = 8,988.52/x
  3. Step 3: Cross multiply
    15,702.84x = 21,668.90 × 8,988.52
  4. Step 4: Simplify right side
    15,702.84x = 194,771,341.03
  5. Step 5: Solve for x
    x = 194,771,341.03/15,702.84
  6. Step 6: Final answer
    x = 12,403.57

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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.