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Finding the Fourth Proportional to 3,503.47, 5,255.14 and 870.98

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Solution

The fourth proportional to 3,503.47, 5,255.14 and 870.98 is: 1,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.47 : 5,255.14 = 870.98 : x
  2. Step 2: Convert to fraction form
    3,503.47/5,255.14 = 870.98/x
  3. Step 3: Cross multiply
    3,503.47x = 5,255.14 × 870.98
  4. Step 4: Simplify right side
    3,503.47x = 4,577,121.84
  5. Step 5: Solve for x
    x = 4,577,121.84/3,503.47
  6. Step 6: Final answer
    x = 1,306.45

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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.