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Finding the Fourth Proportional to 2,428, 3,351.18 and 1,543.63

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Solution

The fourth proportional to 2,428, 3,351.18 and 1,543.63 is: 2,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428 : 3,351.18 = 1,543.63 : x
  2. Step 2: Convert to fraction form
    2,428/3,351.18 = 1,543.63/x
  3. Step 3: Cross multiply
    2,428x = 3,351.18 × 1,543.63
  4. Step 4: Simplify right side
    2,428x = 5,172,981.98
  5. Step 5: Solve for x
    x = 5,172,981.98/2,428
  6. Step 6: Final answer
    x = 2,130.55

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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.