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Finding the Fourth Proportional to 8,947.12, 12,347.10 and 4,968.49

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Solution

The fourth proportional to 8,947.12, 12,347.10 and 4,968.49 is: 6,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.12 : 12,347.10 = 4,968.49 : x
  2. Step 2: Convert to fraction form
    8,947.12/12,347.10 = 4,968.49/x
  3. Step 3: Cross multiply
    8,947.12x = 12,347.10 × 4,968.49
  4. Step 4: Simplify right side
    8,947.12x = 61,346,442.88
  5. Step 5: Solve for x
    x = 61,346,442.88/8,947.12
  6. Step 6: Final answer
    x = 6,856.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.