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Finding the Fourth Proportional to 10,001, 13,801.38 and 5,585

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Solution

The fourth proportional to 10,001, 13,801.38 and 5,585 is: 7,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001 : 13,801.38 = 5,585 : x
  2. Step 2: Convert to fraction form
    10,001/13,801.38 = 5,585/x
  3. Step 3: Cross multiply
    10,001x = 13,801.38 × 5,585
  4. Step 4: Simplify right side
    10,001x = 77,080,707.30
  5. Step 5: Solve for x
    x = 77,080,707.30/10,001
  6. Step 6: Final answer
    x = 7,707.30

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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.