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Finding the Fourth Proportional to 9,876.28, 14,820.24 and 3,640.68

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Solution

The fourth proportional to 9,876.28, 14,820.24 and 3,640.68 is: 5,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.28 : 14,820.24 = 3,640.68 : x
  2. Step 2: Convert to fraction form
    9,876.28/14,820.24 = 3,640.68/x
  3. Step 3: Cross multiply
    9,876.28x = 14,820.24 × 3,640.68
  4. Step 4: Simplify right side
    9,876.28x = 53,955,751.36
  5. Step 5: Solve for x
    x = 53,955,751.36/9,876.28
  6. Step 6: Final answer
    x = 5,463.17

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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.