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Finding the Fourth Proportional to 8,510.86, 12,758.50 and 3,580.85

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Solution

The fourth proportional to 8,510.86, 12,758.50 and 3,580.85 is: 5,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.86 : 12,758.50 = 3,580.85 : x
  2. Step 2: Convert to fraction form
    8,510.86/12,758.50 = 3,580.85/x
  3. Step 3: Cross multiply
    8,510.86x = 12,758.50 × 3,580.85
  4. Step 4: Simplify right side
    8,510.86x = 45,686,274.73
  5. Step 5: Solve for x
    x = 45,686,274.73/8,510.86
  6. Step 6: Final answer
    x = 5,368.00

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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.