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Finding the Fourth Proportional to 7,471.78, 10,310.99 and 4,114.53

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Solution

The fourth proportional to 7,471.78, 10,310.99 and 4,114.53 is: 5,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.78 : 10,310.99 = 4,114.53 : x
  2. Step 2: Convert to fraction form
    7,471.78/10,310.99 = 4,114.53/x
  3. Step 3: Cross multiply
    7,471.78x = 10,310.99 × 4,114.53
  4. Step 4: Simplify right side
    7,471.78x = 42,424,857.11
  5. Step 5: Solve for x
    x = 42,424,857.11/7,471.78
  6. Step 6: Final answer
    x = 5,678.01

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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.