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Finding the Fourth Proportional to 5,465, 7,541.70 and 2,981

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Solution

The fourth proportional to 5,465, 7,541.70 and 2,981 is: 4,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465 : 7,541.70 = 2,981 : x
  2. Step 2: Convert to fraction form
    5,465/7,541.70 = 2,981/x
  3. Step 3: Cross multiply
    5,465x = 7,541.70 × 2,981
  4. Step 4: Simplify right side
    5,465x = 22,481,807.70
  5. Step 5: Solve for x
    x = 22,481,807.70/5,465
  6. Step 6: Final answer
    x = 4,113.78

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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.