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Finding the Fourth Proportional to 9,880.44, 13,648.32 and 7,905.12

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Solution

The fourth proportional to 9,880.44, 13,648.32 and 7,905.12 is: 10,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.44 : 13,648.32 = 7,905.12 : x
  2. Step 2: Convert to fraction form
    9,880.44/13,648.32 = 7,905.12/x
  3. Step 3: Cross multiply
    9,880.44x = 13,648.32 × 7,905.12
  4. Step 4: Simplify right side
    9,880.44x = 107,891,607.40
  5. Step 5: Solve for x
    x = 107,891,607.40/9,880.44
  6. Step 6: Final answer
    x = 10,919.72

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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.