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Finding the Fourth Proportional to 9,969.60, 14,947.92 and 4,778.40

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Solution

The fourth proportional to 9,969.60, 14,947.92 and 4,778.40 is: 7,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.60 : 14,947.92 = 4,778.40 : x
  2. Step 2: Convert to fraction form
    9,969.60/14,947.92 = 4,778.40/x
  3. Step 3: Cross multiply
    9,969.60x = 14,947.92 × 4,778.40
  4. Step 4: Simplify right side
    9,969.60x = 71,427,140.93
  5. Step 5: Solve for x
    x = 71,427,140.93/9,969.60
  6. Step 6: Final answer
    x = 7,164.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.