Home / 1,504.14-2,073.82-972.13

Finding the Fourth Proportional to 1,504.14, 2,073.82 and 972.13

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Solution

The fourth proportional to 1,504.14, 2,073.82 and 972.13 is: 1,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.14 : 2,073.82 = 972.13 : x
  2. Step 2: Convert to fraction form
    1,504.14/2,073.82 = 972.13/x
  3. Step 3: Cross multiply
    1,504.14x = 2,073.82 × 972.13
  4. Step 4: Simplify right side
    1,504.14x = 2,016,007.41
  5. Step 5: Solve for x
    x = 2,016,007.41/1,504.14
  6. Step 6: Final answer
    x = 1,340.31

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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.