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Finding the Fourth Proportional to 2,510.29, 3,765.16 and 661.33

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Solution

The fourth proportional to 2,510.29, 3,765.16 and 661.33 is: 991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.29 : 3,765.16 = 661.33 : x
  2. Step 2: Convert to fraction form
    2,510.29/3,765.16 = 661.33/x
  3. Step 3: Cross multiply
    2,510.29x = 3,765.16 × 661.33
  4. Step 4: Simplify right side
    2,510.29x = 2,490,013.26
  5. Step 5: Solve for x
    x = 2,490,013.26/2,510.29
  6. Step 6: Final answer
    x = 991.92

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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.