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Finding the Fourth Proportional to 2,424.33, 3,637.02 and 781.01

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Solution

The fourth proportional to 2,424.33, 3,637.02 and 781.01 is: 1,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.33 : 3,637.02 = 781.01 : x
  2. Step 2: Convert to fraction form
    2,424.33/3,637.02 = 781.01/x
  3. Step 3: Cross multiply
    2,424.33x = 3,637.02 × 781.01
  4. Step 4: Simplify right side
    2,424.33x = 2,840,526.90
  5. Step 5: Solve for x
    x = 2,840,526.90/2,424.33
  6. Step 6: Final answer
    x = 1,171.68

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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.