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Finding the Fourth Proportional to 4,978.76, 6,870.80 and 2,740.70

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Solution

The fourth proportional to 4,978.76, 6,870.80 and 2,740.70 is: 3,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.76 : 6,870.80 = 2,740.70 : x
  2. Step 2: Convert to fraction form
    4,978.76/6,870.80 = 2,740.70/x
  3. Step 3: Cross multiply
    4,978.76x = 6,870.80 × 2,740.70
  4. Step 4: Simplify right side
    4,978.76x = 18,830,825.59
  5. Step 5: Solve for x
    x = 18,830,825.59/4,978.76
  6. Step 6: Final answer
    x = 3,782.24

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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.