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Finding the Fourth Proportional to 10,584, 15,929.16 and 7,965.07

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Solution

The fourth proportional to 10,584, 15,929.16 and 7,965.07 is: 11,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 15,929.16 = 7,965.07 : x
  2. Step 2: Convert to fraction form
    10,584/15,929.16 = 7,965.07/x
  3. Step 3: Cross multiply
    10,584x = 15,929.16 × 7,965.07
  4. Step 4: Simplify right side
    10,584x = 126,876,849.55
  5. Step 5: Solve for x
    x = 126,876,849.55/10,584
  6. Step 6: Final answer
    x = 11,987.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.