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Finding the Fourth Proportional to 2,880.32, 3,981.93 and 2,854.01

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Solution

The fourth proportional to 2,880.32, 3,981.93 and 2,854.01 is: 3,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.32 : 3,981.93 = 2,854.01 : x
  2. Step 2: Convert to fraction form
    2,880.32/3,981.93 = 2,854.01/x
  3. Step 3: Cross multiply
    2,880.32x = 3,981.93 × 2,854.01
  4. Step 4: Simplify right side
    2,880.32x = 11,364,468.04
  5. Step 5: Solve for x
    x = 11,364,468.04/2,880.32
  6. Step 6: Final answer
    x = 3,945.56

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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.