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Finding the Fourth Proportional to 2,424.78, 3,637.29 and 885.66

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Solution

The fourth proportional to 2,424.78, 3,637.29 and 885.66 is: 1,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.78 : 3,637.29 = 885.66 : x
  2. Step 2: Convert to fraction form
    2,424.78/3,637.29 = 885.66/x
  3. Step 3: Cross multiply
    2,424.78x = 3,637.29 × 885.66
  4. Step 4: Simplify right side
    2,424.78x = 3,221,402.26
  5. Step 5: Solve for x
    x = 3,221,402.26/2,424.78
  6. Step 6: Final answer
    x = 1,328.53

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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.