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Finding the Fourth Proportional to 1,652.13, 2,280 and 944.09

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Solution

The fourth proportional to 1,652.13, 2,280 and 944.09 is: 1,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.13 : 2,280 = 944.09 : x
  2. Step 2: Convert to fraction form
    1,652.13/2,280 = 944.09/x
  3. Step 3: Cross multiply
    1,652.13x = 2,280 × 944.09
  4. Step 4: Simplify right side
    1,652.13x = 2,152,525.20
  5. Step 5: Solve for x
    x = 2,152,525.20/1,652.13
  6. Step 6: Final answer
    x = 1,302.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.