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Finding the Fourth Proportional to 15,785.95, 21,787.43 and 9,412.95

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Solution

The fourth proportional to 15,785.95, 21,787.43 and 9,412.95 is: 12,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.95 : 21,787.43 = 9,412.95 : x
  2. Step 2: Convert to fraction form
    15,785.95/21,787.43 = 9,412.95/x
  3. Step 3: Cross multiply
    15,785.95x = 21,787.43 × 9,412.95
  4. Step 4: Simplify right side
    15,785.95x = 205,083,989.22
  5. Step 5: Solve for x
    x = 205,083,989.22/15,785.95
  6. Step 6: Final answer
    x = 12,991.56

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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.