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Finding the Fourth Proportional to 6,984.49, 9,641.16 and 4,627.39

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Solution

The fourth proportional to 6,984.49, 9,641.16 and 4,627.39 is: 6,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.49 : 9,641.16 = 4,627.39 : x
  2. Step 2: Convert to fraction form
    6,984.49/9,641.16 = 4,627.39/x
  3. Step 3: Cross multiply
    6,984.49x = 9,641.16 × 4,627.39
  4. Step 4: Simplify right side
    6,984.49x = 44,613,407.37
  5. Step 5: Solve for x
    x = 44,613,407.37/6,984.49
  6. Step 6: Final answer
    x = 6,387.50

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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.