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Finding the Fourth Proportional to 2,424.77, 3,637.65 and 781.28

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Solution

The fourth proportional to 2,424.77, 3,637.65 and 781.28 is: 1,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.77 : 3,637.65 = 781.28 : x
  2. Step 2: Convert to fraction form
    2,424.77/3,637.65 = 781.28/x
  3. Step 3: Cross multiply
    2,424.77x = 3,637.65 × 781.28
  4. Step 4: Simplify right side
    2,424.77x = 2,842,023.19
  5. Step 5: Solve for x
    x = 2,842,023.19/2,424.77
  6. Step 6: Final answer
    x = 1,172.08

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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.