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Finding the Fourth Proportional to 21,886.76, 32,840.40 and 10,787.40

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Solution

The fourth proportional to 21,886.76, 32,840.40 and 10,787.40 is: 16,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.76 : 32,840.40 = 10,787.40 : x
  2. Step 2: Convert to fraction form
    21,886.76/32,840.40 = 10,787.40/x
  3. Step 3: Cross multiply
    21,886.76x = 32,840.40 × 10,787.40
  4. Step 4: Simplify right side
    21,886.76x = 354,262,312.82
  5. Step 5: Solve for x
    x = 354,262,312.82/21,886.76
  6. Step 6: Final answer
    x = 16,186.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.