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Finding the Fourth Proportional to 2,115.48, 3,172.95 and 555.42

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Solution

The fourth proportional to 2,115.48, 3,172.95 and 555.42 is: 833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.48 : 3,172.95 = 555.42 : x
  2. Step 2: Convert to fraction form
    2,115.48/3,172.95 = 555.42/x
  3. Step 3: Cross multiply
    2,115.48x = 3,172.95 × 555.42
  4. Step 4: Simplify right side
    2,115.48x = 1,762,319.89
  5. Step 5: Solve for x
    x = 1,762,319.89/2,115.48
  6. Step 6: Final answer
    x = 833.06

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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.