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Finding the Fourth Proportional to 1,654.76, 2,483.76 and 1,647.06

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Solution

The fourth proportional to 1,654.76, 2,483.76 and 1,647.06 is: 2,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.76 : 2,483.76 = 1,647.06 : x
  2. Step 2: Convert to fraction form
    1,654.76/2,483.76 = 1,647.06/x
  3. Step 3: Cross multiply
    1,654.76x = 2,483.76 × 1,647.06
  4. Step 4: Simplify right side
    1,654.76x = 4,090,901.75
  5. Step 5: Solve for x
    x = 4,090,901.75/1,654.76
  6. Step 6: Final answer
    x = 2,472.20

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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.