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Finding the Fourth Proportional to 7,158.95, 9,874.80 and 5,172.42

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Solution

The fourth proportional to 7,158.95, 9,874.80 and 5,172.42 is: 7,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.95 : 9,874.80 = 5,172.42 : x
  2. Step 2: Convert to fraction form
    7,158.95/9,874.80 = 5,172.42/x
  3. Step 3: Cross multiply
    7,158.95x = 9,874.80 × 5,172.42
  4. Step 4: Simplify right side
    7,158.95x = 51,076,613.02
  5. Step 5: Solve for x
    x = 51,076,613.02/7,158.95
  6. Step 6: Final answer
    x = 7,134.66

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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.