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Finding the Fourth Proportional to 15,686.88, 21,649.85 and 8,971.58

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Solution

The fourth proportional to 15,686.88, 21,649.85 and 8,971.58 is: 12,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.88 : 21,649.85 = 8,971.58 : x
  2. Step 2: Convert to fraction form
    15,686.88/21,649.85 = 8,971.58/x
  3. Step 3: Cross multiply
    15,686.88x = 21,649.85 × 8,971.58
  4. Step 4: Simplify right side
    15,686.88x = 194,233,208.16
  5. Step 5: Solve for x
    x = 194,233,208.16/15,686.88
  6. Step 6: Final answer
    x = 12,381.89

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1.5x scale

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.