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Finding the Fourth Proportional to 14,158.60, 19,538.92 and 7,870.97

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Solution

The fourth proportional to 14,158.60, 19,538.92 and 7,870.97 is: 10,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.60 : 19,538.92 = 7,870.97 : x
  2. Step 2: Convert to fraction form
    14,158.60/19,538.92 = 7,870.97/x
  3. Step 3: Cross multiply
    14,158.60x = 19,538.92 × 7,870.97
  4. Step 4: Simplify right side
    14,158.60x = 153,790,311.84
  5. Step 5: Solve for x
    x = 153,790,311.84/14,158.60
  6. Step 6: Final answer
    x = 10,861.97

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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.