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Finding the Fourth Proportional to 1,815.26, 2,505.04 and 987.26

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Solution

The fourth proportional to 1,815.26, 2,505.04 and 987.26 is: 1,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.26 : 2,505.04 = 987.26 : x
  2. Step 2: Convert to fraction form
    1,815.26/2,505.04 = 987.26/x
  3. Step 3: Cross multiply
    1,815.26x = 2,505.04 × 987.26
  4. Step 4: Simplify right side
    1,815.26x = 2,473,125.79
  5. Step 5: Solve for x
    x = 2,473,125.79/1,815.26
  6. Step 6: Final answer
    x = 1,362.41

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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.