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Finding the Fourth Proportional to 15,759.86, 21,748.19 and 8,686.31

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Solution

The fourth proportional to 15,759.86, 21,748.19 and 8,686.31 is: 11,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,759.86 : 21,748.19 = 8,686.31 : x
  2. Step 2: Convert to fraction form
    15,759.86/21,748.19 = 8,686.31/x
  3. Step 3: Cross multiply
    15,759.86x = 21,748.19 × 8,686.31
  4. Step 4: Simplify right side
    15,759.86x = 188,911,368.11
  5. Step 5: Solve for x
    x = 188,911,368.11/15,759.86
  6. Step 6: Final answer
    x = 11,986.87

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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.