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Finding the Fourth Proportional to 4,978.50, 6,870.09 and 2,988.66

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Solution

The fourth proportional to 4,978.50, 6,870.09 and 2,988.66 is: 4,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.50 : 6,870.09 = 2,988.66 : x
  2. Step 2: Convert to fraction form
    4,978.50/6,870.09 = 2,988.66/x
  3. Step 3: Cross multiply
    4,978.50x = 6,870.09 × 2,988.66
  4. Step 4: Simplify right side
    4,978.50x = 20,532,363.18
  5. Step 5: Solve for x
    x = 20,532,363.18/4,978.50
  6. Step 6: Final answer
    x = 4,124.21

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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.