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Finding the Fourth Proportional to 8,947.67, 12,347.94 and 4,969.15

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Solution

The fourth proportional to 8,947.67, 12,347.94 and 4,969.15 is: 6,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.67 : 12,347.94 = 4,969.15 : x
  2. Step 2: Convert to fraction form
    8,947.67/12,347.94 = 4,969.15/x
  3. Step 3: Cross multiply
    8,947.67x = 12,347.94 × 4,969.15
  4. Step 4: Simplify right side
    8,947.67x = 61,358,753.82
  5. Step 5: Solve for x
    x = 61,358,753.82/8,947.67
  6. Step 6: Final answer
    x = 6,857.52

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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.