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Finding the Fourth Proportional to 6,988.56, 9,641.76 and 4,633.20

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Solution

The fourth proportional to 6,988.56, 9,641.76 and 4,633.20 is: 6,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.56 : 9,641.76 = 4,633.20 : x
  2. Step 2: Convert to fraction form
    6,988.56/9,641.76 = 4,633.20/x
  3. Step 3: Cross multiply
    6,988.56x = 9,641.76 × 4,633.20
  4. Step 4: Simplify right side
    6,988.56x = 44,672,202.43
  5. Step 5: Solve for x
    x = 44,672,202.43/6,988.56
  6. Step 6: Final answer
    x = 6,392.19

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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.