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Finding the Fourth Proportional to 8,602.78, 12,884.91 and 7,477.78

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Solution

The fourth proportional to 8,602.78, 12,884.91 and 7,477.78 is: 11,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.78 : 12,884.91 = 7,477.78 : x
  2. Step 2: Convert to fraction form
    8,602.78/12,884.91 = 7,477.78/x
  3. Step 3: Cross multiply
    8,602.78x = 12,884.91 × 7,477.78
  4. Step 4: Simplify right side
    8,602.78x = 96,350,522.30
  5. Step 5: Solve for x
    x = 96,350,522.30/8,602.78
  6. Step 6: Final answer
    x = 11,199.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.