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Finding the Fourth Proportional to 21,253.40, 31,878.86 and 8,107.10

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Solution

The fourth proportional to 21,253.40, 31,878.86 and 8,107.10 is: 12,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.40 : 31,878.86 = 8,107.10 : x
  2. Step 2: Convert to fraction form
    21,253.40/31,878.86 = 8,107.10/x
  3. Step 3: Cross multiply
    21,253.40x = 31,878.86 × 8,107.10
  4. Step 4: Simplify right side
    21,253.40x = 258,445,105.91
  5. Step 5: Solve for x
    x = 258,445,105.91/21,253.40
  6. Step 6: Final answer
    x = 12,160.18

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1.5x scale

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.