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Finding the Fourth Proportional to 15,735.15, 21,713.81 and 8,565.08

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Solution

The fourth proportional to 15,735.15, 21,713.81 and 8,565.08 is: 11,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.15 : 21,713.81 = 8,565.08 : x
  2. Step 2: Convert to fraction form
    15,735.15/21,713.81 = 8,565.08/x
  3. Step 3: Cross multiply
    15,735.15x = 21,713.81 × 8,565.08
  4. Step 4: Simplify right side
    15,735.15x = 185,980,432.60
  5. Step 5: Solve for x
    x = 185,980,432.60/15,735.15
  6. Step 6: Final answer
    x = 11,819.43

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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.