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Finding the Fourth Proportional to 8,387.96, 11,518.14 and 7,503.44

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Solution

The fourth proportional to 8,387.96, 11,518.14 and 7,503.44 is: 10,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.96 : 11,518.14 = 7,503.44 : x
  2. Step 2: Convert to fraction form
    8,387.96/11,518.14 = 7,503.44/x
  3. Step 3: Cross multiply
    8,387.96x = 11,518.14 × 7,503.44
  4. Step 4: Simplify right side
    8,387.96x = 86,425,672.40
  5. Step 5: Solve for x
    x = 86,425,672.40/8,387.96
  6. Step 6: Final answer
    x = 10,303.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.