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Finding the Fourth Proportional to 5,254.34, 7,881.53 and 1,358.78

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Solution

The fourth proportional to 5,254.34, 7,881.53 and 1,358.78 is: 2,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.34 : 7,881.53 = 1,358.78 : x
  2. Step 2: Convert to fraction form
    5,254.34/7,881.53 = 1,358.78/x
  3. Step 3: Cross multiply
    5,254.34x = 7,881.53 × 1,358.78
  4. Step 4: Simplify right side
    5,254.34x = 10,709,219.13
  5. Step 5: Solve for x
    x = 10,709,219.13/5,254.34
  6. Step 6: Final answer
    x = 2,038.17

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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.