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Finding the Fourth Proportional to 2,836.04, 4,253.72 and 987.00

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Solution

The fourth proportional to 2,836.04, 4,253.72 and 987.00 is: 1,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.04 : 4,253.72 = 987.00 : x
  2. Step 2: Convert to fraction form
    2,836.04/4,253.72 = 987.00/x
  3. Step 3: Cross multiply
    2,836.04x = 4,253.72 × 987.00
  4. Step 4: Simplify right side
    2,836.04x = 4,198,406.74
  5. Step 5: Solve for x
    x = 4,198,406.74/2,836.04
  6. Step 6: Final answer
    x = 1,480.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.