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Finding the Fourth Proportional to 1,651.56, 2,476.47 and 871.98

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Solution

The fourth proportional to 1,651.56, 2,476.47 and 871.98 is: 1,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.56 : 2,476.47 = 871.98 : x
  2. Step 2: Convert to fraction form
    1,651.56/2,476.47 = 871.98/x
  3. Step 3: Cross multiply
    1,651.56x = 2,476.47 × 871.98
  4. Step 4: Simplify right side
    1,651.56x = 2,159,432.31
  5. Step 5: Solve for x
    x = 2,159,432.31/1,651.56
  6. Step 6: Final answer
    x = 1,307.51

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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.