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Finding the Fourth Proportional to 8,700.30, 12,000.94 and 5,161

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Solution

The fourth proportional to 8,700.30, 12,000.94 and 5,161 is: 7,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,700.30 : 12,000.94 = 5,161 : x
  2. Step 2: Convert to fraction form
    8,700.30/12,000.94 = 5,161/x
  3. Step 3: Cross multiply
    8,700.30x = 12,000.94 × 5,161
  4. Step 4: Simplify right side
    8,700.30x = 61,936,851.34
  5. Step 5: Solve for x
    x = 61,936,851.34/8,700.30
  6. Step 6: Final answer
    x = 7,118.93

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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.