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Finding the Fourth Proportional to 2,802.88, 3,867.98 and 1,560.88

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Solution

The fourth proportional to 2,802.88, 3,867.98 and 1,560.88 is: 2,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.88 : 3,867.98 = 1,560.88 : x
  2. Step 2: Convert to fraction form
    2,802.88/3,867.98 = 1,560.88/x
  3. Step 3: Cross multiply
    2,802.88x = 3,867.98 × 1,560.88
  4. Step 4: Simplify right side
    2,802.88x = 6,037,452.62
  5. Step 5: Solve for x
    x = 6,037,452.62/2,802.88
  6. Step 6: Final answer
    x = 2,154.02

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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.