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Finding the Fourth Proportional to 15,728.32, 21,703.26 and 8,654.32

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Solution

The fourth proportional to 15,728.32, 21,703.26 and 8,654.32 is: 11,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.32 : 21,703.26 = 8,654.32 : x
  2. Step 2: Convert to fraction form
    15,728.32/21,703.26 = 8,654.32/x
  3. Step 3: Cross multiply
    15,728.32x = 21,703.26 × 8,654.32
  4. Step 4: Simplify right side
    15,728.32x = 187,826,957.08
  5. Step 5: Solve for x
    x = 187,826,957.08/15,728.32
  6. Step 6: Final answer
    x = 11,941.96

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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.