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Finding the Fourth Proportional to 9,877.50, 14,816.25 and 2,581.50

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Solution

The fourth proportional to 9,877.50, 14,816.25 and 2,581.50 is: 3,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.50 : 14,816.25 = 2,581.50 : x
  2. Step 2: Convert to fraction form
    9,877.50/14,816.25 = 2,581.50/x
  3. Step 3: Cross multiply
    9,877.50x = 14,816.25 × 2,581.50
  4. Step 4: Simplify right side
    9,877.50x = 38,248,149.38
  5. Step 5: Solve for x
    x = 38,248,149.38/9,877.50
  6. Step 6: Final answer
    x = 3,872.25

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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.