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Finding the Fourth Proportional to 15,870.71, 21,894.22 and 11,157.77

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Solution

The fourth proportional to 15,870.71, 21,894.22 and 11,157.77 is: 15,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.71 : 21,894.22 = 11,157.77 : x
  2. Step 2: Convert to fraction form
    15,870.71/21,894.22 = 11,157.77/x
  3. Step 3: Cross multiply
    15,870.71x = 21,894.22 × 11,157.77
  4. Step 4: Simplify right side
    15,870.71x = 244,290,739.77
  5. Step 5: Solve for x
    x = 244,290,739.77/15,870.71
  6. Step 6: Final answer
    x = 15,392.55

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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.