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Finding the Fourth Proportional to 2,316.80, 3,472.50 and 1,017.02

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Solution

The fourth proportional to 2,316.80, 3,472.50 and 1,017.02 is: 1,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.80 : 3,472.50 = 1,017.02 : x
  2. Step 2: Convert to fraction form
    2,316.80/3,472.50 = 1,017.02/x
  3. Step 3: Cross multiply
    2,316.80x = 3,472.50 × 1,017.02
  4. Step 4: Simplify right side
    2,316.80x = 3,531,601.95
  5. Step 5: Solve for x
    x = 3,531,601.95/2,316.80
  6. Step 6: Final answer
    x = 1,524.34

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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.