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Finding the Fourth Proportional to 10,291, 14,204.82 and 6,565

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Solution

The fourth proportional to 10,291, 14,204.82 and 6,565 is: 9,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291 : 14,204.82 = 6,565 : x
  2. Step 2: Convert to fraction form
    10,291/14,204.82 = 6,565/x
  3. Step 3: Cross multiply
    10,291x = 14,204.82 × 6,565
  4. Step 4: Simplify right side
    10,291x = 93,254,643.30
  5. Step 5: Solve for x
    x = 93,254,643.30/10,291
  6. Step 6: Final answer
    x = 9,061.77

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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.