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Finding the Fourth Proportional to 5,643.44, 7,780.48 and 4,631.44

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Solution

The fourth proportional to 5,643.44, 7,780.48 and 4,631.44 is: 6,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.44 : 7,780.48 = 4,631.44 : x
  2. Step 2: Convert to fraction form
    5,643.44/7,780.48 = 4,631.44/x
  3. Step 3: Cross multiply
    5,643.44x = 7,780.48 × 4,631.44
  4. Step 4: Simplify right side
    5,643.44x = 36,034,826.29
  5. Step 5: Solve for x
    x = 36,034,826.29/5,643.44
  6. Step 6: Final answer
    x = 6,385.26

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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.