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Finding the Fourth Proportional to 2,424.78, 3,636.23 and 1,038.78

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Solution

The fourth proportional to 2,424.78, 3,636.23 and 1,038.78 is: 1,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.78 : 3,636.23 = 1,038.78 : x
  2. Step 2: Convert to fraction form
    2,424.78/3,636.23 = 1,038.78/x
  3. Step 3: Cross multiply
    2,424.78x = 3,636.23 × 1,038.78
  4. Step 4: Simplify right side
    2,424.78x = 3,777,237.81
  5. Step 5: Solve for x
    x = 3,777,237.81/2,424.78
  6. Step 6: Final answer
    x = 1,557.77

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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.