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Finding the Fourth Proportional to 10,002, 13,802.76 and 5,586

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Solution

The fourth proportional to 10,002, 13,802.76 and 5,586 is: 7,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 13,802.76 = 5,586 : x
  2. Step 2: Convert to fraction form
    10,002/13,802.76 = 5,586/x
  3. Step 3: Cross multiply
    10,002x = 13,802.76 × 5,586
  4. Step 4: Simplify right side
    10,002x = 77,102,217.36
  5. Step 5: Solve for x
    x = 77,102,217.36/10,002
  6. Step 6: Final answer
    x = 7,708.68

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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.