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Finding the Fourth Proportional to 2,799, 3,862.68 and 1,557

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Solution

The fourth proportional to 2,799, 3,862.68 and 1,557 is: 2,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799 : 3,862.68 = 1,557 : x
  2. Step 2: Convert to fraction form
    2,799/3,862.68 = 1,557/x
  3. Step 3: Cross multiply
    2,799x = 3,862.68 × 1,557
  4. Step 4: Simplify right side
    2,799x = 6,014,192.76
  5. Step 5: Solve for x
    x = 6,014,192.76/2,799
  6. Step 6: Final answer
    x = 2,148.69

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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.