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Finding the Fourth Proportional to 5,618.76, 7,748.64 and 4,442.64

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Solution

The fourth proportional to 5,618.76, 7,748.64 and 4,442.64 is: 6,126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.76 : 7,748.64 = 4,442.64 : x
  2. Step 2: Convert to fraction form
    5,618.76/7,748.64 = 4,442.64/x
  3. Step 3: Cross multiply
    5,618.76x = 7,748.64 × 4,442.64
  4. Step 4: Simplify right side
    5,618.76x = 34,424,418.01
  5. Step 5: Solve for x
    x = 34,424,418.01/5,618.76
  6. Step 6: Final answer
    x = 6,126.69

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1.5x scale

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.