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Finding the Fourth Proportional to 4,967.88, 6,854.54 and 2,978.80

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Solution

The fourth proportional to 4,967.88, 6,854.54 and 2,978.80 is: 4,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.88 : 6,854.54 = 2,978.80 : x
  2. Step 2: Convert to fraction form
    4,967.88/6,854.54 = 2,978.80/x
  3. Step 3: Cross multiply
    4,967.88x = 6,854.54 × 2,978.80
  4. Step 4: Simplify right side
    4,967.88x = 20,418,303.75
  5. Step 5: Solve for x
    x = 20,418,303.75/4,967.88
  6. Step 6: Final answer
    x = 4,110.06

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1.5x scale

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.