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Finding the Fourth Proportional to 4,978.60, 6,870.47 and 2,740.64

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Solution

The fourth proportional to 4,978.60, 6,870.47 and 2,740.64 is: 3,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.60 : 6,870.47 = 2,740.64 : x
  2. Step 2: Convert to fraction form
    4,978.60/6,870.47 = 2,740.64/x
  3. Step 3: Cross multiply
    4,978.60x = 6,870.47 × 2,740.64
  4. Step 4: Simplify right side
    4,978.60x = 18,829,436.85
  5. Step 5: Solve for x
    x = 18,829,436.85/4,978.60
  6. Step 6: Final answer
    x = 3,782.08

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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.