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Finding the Fourth Proportional to 5,630.25, 7,764.69 and 4,689.15

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Solution

The fourth proportional to 5,630.25, 7,764.69 and 4,689.15 is: 6,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.25 : 7,764.69 = 4,689.15 : x
  2. Step 2: Convert to fraction form
    5,630.25/7,764.69 = 4,689.15/x
  3. Step 3: Cross multiply
    5,630.25x = 7,764.69 × 4,689.15
  4. Step 4: Simplify right side
    5,630.25x = 36,409,796.11
  5. Step 5: Solve for x
    x = 36,409,796.11/5,630.25
  6. Step 6: Final answer
    x = 6,466.82

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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.