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Finding the Fourth Proportional to 8,710.50, 12,020.49 and 4,984.50

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Solution

The fourth proportional to 8,710.50, 12,020.49 and 4,984.50 is: 6,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.50 : 12,020.49 = 4,984.50 : x
  2. Step 2: Convert to fraction form
    8,710.50/12,020.49 = 4,984.50/x
  3. Step 3: Cross multiply
    8,710.50x = 12,020.49 × 4,984.50
  4. Step 4: Simplify right side
    8,710.50x = 59,916,132.41
  5. Step 5: Solve for x
    x = 59,916,132.41/8,710.50
  6. Step 6: Final answer
    x = 6,878.61

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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.