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Finding the Fourth Proportional to 38,643.80, 57,965.70 and 16,457.90

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Solution

The fourth proportional to 38,643.80, 57,965.70 and 16,457.90 is: 24,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.80 : 57,965.70 = 16,457.90 : x
  2. Step 2: Convert to fraction form
    38,643.80/57,965.70 = 16,457.90/x
  3. Step 3: Cross multiply
    38,643.80x = 57,965.70 × 16,457.90
  4. Step 4: Simplify right side
    38,643.80x = 953,993,694.03
  5. Step 5: Solve for x
    x = 953,993,694.03/38,643.80
  6. Step 6: Final answer
    x = 24,686.85

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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.