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Finding the Fourth Proportional to 8,947.24, 12,347.76 and 4,969.52

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Solution

The fourth proportional to 8,947.24, 12,347.76 and 4,969.52 is: 6,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.24 : 12,347.76 = 4,969.52 : x
  2. Step 2: Convert to fraction form
    8,947.24/12,347.76 = 4,969.52/x
  3. Step 3: Cross multiply
    8,947.24x = 12,347.76 × 4,969.52
  4. Step 4: Simplify right side
    8,947.24x = 61,362,440.28
  5. Step 5: Solve for x
    x = 61,362,440.28/8,947.24
  6. Step 6: Final answer
    x = 6,858.25

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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.