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Finding the Fourth Proportional to 7,438.50, 10,265.13 and 4,126.50

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Solution

The fourth proportional to 7,438.50, 10,265.13 and 4,126.50 is: 5,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.50 : 10,265.13 = 4,126.50 : x
  2. Step 2: Convert to fraction form
    7,438.50/10,265.13 = 4,126.50/x
  3. Step 3: Cross multiply
    7,438.50x = 10,265.13 × 4,126.50
  4. Step 4: Simplify right side
    7,438.50x = 42,359,058.95
  5. Step 5: Solve for x
    x = 42,359,058.95/7,438.50
  6. Step 6: Final answer
    x = 5,694.57

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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.