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Finding the Fourth Proportional to 8,353.61, 11,531.81 and 7,214.75

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Solution

The fourth proportional to 8,353.61, 11,531.81 and 7,214.75 is: 9,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.61 : 11,531.81 = 7,214.75 : x
  2. Step 2: Convert to fraction form
    8,353.61/11,531.81 = 7,214.75/x
  3. Step 3: Cross multiply
    8,353.61x = 11,531.81 × 7,214.75
  4. Step 4: Simplify right side
    8,353.61x = 83,199,090.12
  5. Step 5: Solve for x
    x = 83,199,090.12/8,353.61
  6. Step 6: Final answer
    x = 9,959.66

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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.