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Finding the Fourth Proportional to 8,500.78, 11,701.96 and 7,375.10

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Solution

The fourth proportional to 8,500.78, 11,701.96 and 7,375.10 is: 10,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.78 : 11,701.96 = 7,375.10 : x
  2. Step 2: Convert to fraction form
    8,500.78/11,701.96 = 7,375.10/x
  3. Step 3: Cross multiply
    8,500.78x = 11,701.96 × 7,375.10
  4. Step 4: Simplify right side
    8,500.78x = 86,303,125.20
  5. Step 5: Solve for x
    x = 86,303,125.20/8,500.78
  6. Step 6: Final answer
    x = 10,152.38

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Double scale
Find fourth proportional to 8,501.78, 11,703.34 and 7,376.10
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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.