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Finding the Fourth Proportional to 4,978.12, 6,870.28 and 2,988.76

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Solution

The fourth proportional to 4,978.12, 6,870.28 and 2,988.76 is: 4,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.12 : 6,870.28 = 2,988.76 : x
  2. Step 2: Convert to fraction form
    4,978.12/6,870.28 = 2,988.76/x
  3. Step 3: Cross multiply
    4,978.12x = 6,870.28 × 2,988.76
  4. Step 4: Simplify right side
    4,978.12x = 20,533,618.05
  5. Step 5: Solve for x
    x = 20,533,618.05/4,978.12
  6. Step 6: Final answer
    x = 4,124.77

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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.