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Finding the Fourth Proportional to 15,686.21, 21,646.88 and 8,971.95

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Solution

The fourth proportional to 15,686.21, 21,646.88 and 8,971.95 is: 12,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.21 : 21,646.88 = 8,971.95 : x
  2. Step 2: Convert to fraction form
    15,686.21/21,646.88 = 8,971.95/x
  3. Step 3: Cross multiply
    15,686.21x = 21,646.88 × 8,971.95
  4. Step 4: Simplify right side
    15,686.21x = 194,214,801.15
  5. Step 5: Solve for x
    x = 194,214,801.15/15,686.21
  6. Step 6: Final answer
    x = 12,381.24

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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.