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Finding the Fourth Proportional to 2,383.48, 3,575.20 and 652.10

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Solution

The fourth proportional to 2,383.48, 3,575.20 and 652.10 is: 978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.48 : 3,575.20 = 652.10 : x
  2. Step 2: Convert to fraction form
    2,383.48/3,575.20 = 652.10/x
  3. Step 3: Cross multiply
    2,383.48x = 3,575.20 × 652.10
  4. Step 4: Simplify right side
    2,383.48x = 2,331,387.92
  5. Step 5: Solve for x
    x = 2,331,387.92/2,383.48
  6. Step 6: Final answer
    x = 978.14

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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.