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Finding the Fourth Proportional to 7,139.78, 10,709.40 and 1,874.74

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Solution

The fourth proportional to 7,139.78, 10,709.40 and 1,874.74 is: 2,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.78 : 10,709.40 = 1,874.74 : x
  2. Step 2: Convert to fraction form
    7,139.78/10,709.40 = 1,874.74/x
  3. Step 3: Cross multiply
    7,139.78x = 10,709.40 × 1,874.74
  4. Step 4: Simplify right side
    7,139.78x = 20,077,304.41
  5. Step 5: Solve for x
    x = 20,077,304.41/7,139.78
  6. Step 6: Final answer
    x = 2,812.04

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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.