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Finding the Fourth Proportional to 5,254.40, 7,881.81 and 1,358.91

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Solution

The fourth proportional to 5,254.40, 7,881.81 and 1,358.91 is: 2,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.40 : 7,881.81 = 1,358.91 : x
  2. Step 2: Convert to fraction form
    5,254.40/7,881.81 = 1,358.91/x
  3. Step 3: Cross multiply
    5,254.40x = 7,881.81 × 1,358.91
  4. Step 4: Simplify right side
    5,254.40x = 10,710,665.33
  5. Step 5: Solve for x
    x = 10,710,665.33/5,254.40
  6. Step 6: Final answer
    x = 2,038.42

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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.