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Finding the Fourth Proportional to 2,880.74, 3,972.48 and 2,290.16

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Solution

The fourth proportional to 2,880.74, 3,972.48 and 2,290.16 is: 3,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.74 : 3,972.48 = 2,290.16 : x
  2. Step 2: Convert to fraction form
    2,880.74/3,972.48 = 2,290.16/x
  3. Step 3: Cross multiply
    2,880.74x = 3,972.48 × 2,290.16
  4. Step 4: Simplify right side
    2,880.74x = 9,097,614.80
  5. Step 5: Solve for x
    x = 9,097,614.80/2,880.74
  6. Step 6: Final answer
    x = 3,158.08

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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.