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Finding the Fourth Proportional to 5,155.98, 7,732.62 and 1,868.46

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Solution

The fourth proportional to 5,155.98, 7,732.62 and 1,868.46 is: 2,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.98 : 7,732.62 = 1,868.46 : x
  2. Step 2: Convert to fraction form
    5,155.98/7,732.62 = 1,868.46/x
  3. Step 3: Cross multiply
    5,155.98x = 7,732.62 × 1,868.46
  4. Step 4: Simplify right side
    5,155.98x = 14,448,091.17
  5. Step 5: Solve for x
    x = 14,448,091.17/5,155.98
  6. Step 6: Final answer
    x = 2,802.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.