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Finding the Fourth Proportional to 21,492, 29,648.88 and 15,207.84

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Solution

The fourth proportional to 21,492, 29,648.88 and 15,207.84 is: 20,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,492 : 29,648.88 = 15,207.84 : x
  2. Step 2: Convert to fraction form
    21,492/29,648.88 = 15,207.84/x
  3. Step 3: Cross multiply
    21,492x = 29,648.88 × 15,207.84
  4. Step 4: Simplify right side
    21,492x = 450,895,423.22
  5. Step 5: Solve for x
    x = 450,895,423.22/21,492
  6. Step 6: Final answer
    x = 20,979.69

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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.