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Finding the Fourth Proportional to 7,902.90, 11,784.96 and 7,264.62

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Solution

The fourth proportional to 7,902.90, 11,784.96 and 7,264.62 is: 10,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.90 : 11,784.96 = 7,264.62 : x
  2. Step 2: Convert to fraction form
    7,902.90/11,784.96 = 7,264.62/x
  3. Step 3: Cross multiply
    7,902.90x = 11,784.96 × 7,264.62
  4. Step 4: Simplify right side
    7,902.90x = 85,613,256.12
  5. Step 5: Solve for x
    x = 85,613,256.12/7,902.90
  6. Step 6: Final answer
    x = 10,833.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.