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Finding the Fourth Proportional to 1,975, 2,726.64 and 1,510.12

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Solution

The fourth proportional to 1,975, 2,726.64 and 1,510.12 is: 2,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975 : 2,726.64 = 1,510.12 : x
  2. Step 2: Convert to fraction form
    1,975/2,726.64 = 1,510.12/x
  3. Step 3: Cross multiply
    1,975x = 2,726.64 × 1,510.12
  4. Step 4: Simplify right side
    1,975x = 4,117,553.60
  5. Step 5: Solve for x
    x = 4,117,553.60/1,975
  6. Step 6: Final answer
    x = 2,084.84

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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.