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Finding the Fourth Proportional to 15,686.99, 21,648.12 and 8,972.90

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Solution

The fourth proportional to 15,686.99, 21,648.12 and 8,972.90 is: 12,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.99 : 21,648.12 = 8,972.90 : x
  2. Step 2: Convert to fraction form
    15,686.99/21,648.12 = 8,972.90/x
  3. Step 3: Cross multiply
    15,686.99x = 21,648.12 × 8,972.90
  4. Step 4: Simplify right side
    15,686.99x = 194,246,415.95
  5. Step 5: Solve for x
    x = 194,246,415.95/15,686.99
  6. Step 6: Final answer
    x = 12,382.64

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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.