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Finding the Fourth Proportional to 12,475, 18,715.58 and 3,709.88

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Solution

The fourth proportional to 12,475, 18,715.58 and 3,709.88 is: 5,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475 : 18,715.58 = 3,709.88 : x
  2. Step 2: Convert to fraction form
    12,475/18,715.58 = 3,709.88/x
  3. Step 3: Cross multiply
    12,475x = 18,715.58 × 3,709.88
  4. Step 4: Simplify right side
    12,475x = 69,432,555.93
  5. Step 5: Solve for x
    x = 69,432,555.93/12,475
  6. Step 6: Final answer
    x = 5,565.74

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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.