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Finding the Fourth Proportional to 9,114.78, 12,573.96 and 7,853.64

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Solution

The fourth proportional to 9,114.78, 12,573.96 and 7,853.64 is: 10,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.78 : 12,573.96 = 7,853.64 : x
  2. Step 2: Convert to fraction form
    9,114.78/12,573.96 = 7,853.64/x
  3. Step 3: Cross multiply
    9,114.78x = 12,573.96 × 7,853.64
  4. Step 4: Simplify right side
    9,114.78x = 98,751,355.21
  5. Step 5: Solve for x
    x = 98,751,355.21/9,114.78
  6. Step 6: Final answer
    x = 10,834.20

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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.