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Finding the Fourth Proportional to 10,356, 14,292.57 and 5,881.20

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Solution

The fourth proportional to 10,356, 14,292.57 and 5,881.20 is: 8,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 14,292.57 = 5,881.20 : x
  2. Step 2: Convert to fraction form
    10,356/14,292.57 = 5,881.20/x
  3. Step 3: Cross multiply
    10,356x = 14,292.57 × 5,881.20
  4. Step 4: Simplify right side
    10,356x = 84,057,462.68
  5. Step 5: Solve for x
    x = 84,057,462.68/10,356
  6. Step 6: Final answer
    x = 8,116.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.