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Finding the Fourth Proportional to 15,823.17, 21,835.71 and 8,749.59

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Solution

The fourth proportional to 15,823.17, 21,835.71 and 8,749.59 is: 12,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.17 : 21,835.71 = 8,749.59 : x
  2. Step 2: Convert to fraction form
    15,823.17/21,835.71 = 8,749.59/x
  3. Step 3: Cross multiply
    15,823.17x = 21,835.71 × 8,749.59
  4. Step 4: Simplify right side
    15,823.17x = 191,053,649.13
  5. Step 5: Solve for x
    x = 191,053,649.13/15,823.17
  6. Step 6: Final answer
    x = 12,074.29

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1.5x scale

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.