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Finding the Fourth Proportional to 2,442.16, 3,663.48 and 902.80

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Solution

The fourth proportional to 2,442.16, 3,663.48 and 902.80 is: 1,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.16 : 3,663.48 = 902.80 : x
  2. Step 2: Convert to fraction form
    2,442.16/3,663.48 = 902.80/x
  3. Step 3: Cross multiply
    2,442.16x = 3,663.48 × 902.80
  4. Step 4: Simplify right side
    2,442.16x = 3,307,389.74
  5. Step 5: Solve for x
    x = 3,307,389.74/2,442.16
  6. Step 6: Final answer
    x = 1,354.29

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1.5x scale

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.