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Finding the Fourth Proportional to 1,975.14, 2,960.88 and 987.36

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Solution

The fourth proportional to 1,975.14, 2,960.88 and 987.36 is: 1,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.14 : 2,960.88 = 987.36 : x
  2. Step 2: Convert to fraction form
    1,975.14/2,960.88 = 987.36/x
  3. Step 3: Cross multiply
    1,975.14x = 2,960.88 × 987.36
  4. Step 4: Simplify right side
    1,975.14x = 2,923,454.48
  5. Step 5: Solve for x
    x = 2,923,454.48/1,975.14
  6. Step 6: Final answer
    x = 1,480.13

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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.