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Finding the Fourth Proportional to 5,102.88, 7,041.88 and 2,864.58

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Solution

The fourth proportional to 5,102.88, 7,041.88 and 2,864.58 is: 3,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.88 : 7,041.88 = 2,864.58 : x
  2. Step 2: Convert to fraction form
    5,102.88/7,041.88 = 2,864.58/x
  3. Step 3: Cross multiply
    5,102.88x = 7,041.88 × 2,864.58
  4. Step 4: Simplify right side
    5,102.88x = 20,172,014.29
  5. Step 5: Solve for x
    x = 20,172,014.29/5,102.88
  6. Step 6: Final answer
    x = 3,953.06

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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.