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Finding the Fourth Proportional to 1,655.72, 2,483.55 and 1,397.38

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Solution

The fourth proportional to 1,655.72, 2,483.55 and 1,397.38 is: 2,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.72 : 2,483.55 = 1,397.38 : x
  2. Step 2: Convert to fraction form
    1,655.72/2,483.55 = 1,397.38/x
  3. Step 3: Cross multiply
    1,655.72x = 2,483.55 × 1,397.38
  4. Step 4: Simplify right side
    1,655.72x = 3,470,463.10
  5. Step 5: Solve for x
    x = 3,470,463.10/1,655.72
  6. Step 6: Final answer
    x = 2,096.04

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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.