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Finding the Fourth Proportional to 38,643.84, 53,358.60 and 29,677.20

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Solution

The fourth proportional to 38,643.84, 53,358.60 and 29,677.20 is: 40,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.84 : 53,358.60 = 29,677.20 : x
  2. Step 2: Convert to fraction form
    38,643.84/53,358.60 = 29,677.20/x
  3. Step 3: Cross multiply
    38,643.84x = 53,358.60 × 29,677.20
  4. Step 4: Simplify right side
    38,643.84x = 1,583,533,843.92
  5. Step 5: Solve for x
    x = 1,583,533,843.92/38,643.84
  6. Step 6: Final answer
    x = 40,977.65

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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.