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Finding the Fourth Proportional to 12,778.71, 19,168.70 and 4,013.70

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Solution

The fourth proportional to 12,778.71, 19,168.70 and 4,013.70 is: 6,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.71 : 19,168.70 = 4,013.70 : x
  2. Step 2: Convert to fraction form
    12,778.71/19,168.70 = 4,013.70/x
  3. Step 3: Cross multiply
    12,778.71x = 19,168.70 × 4,013.70
  4. Step 4: Simplify right side
    12,778.71x = 76,937,411.19
  5. Step 5: Solve for x
    x = 76,937,411.19/12,778.71
  6. Step 6: Final answer
    x = 6,020.75

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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.