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Finding the Fourth Proportional to 9,878.72, 14,801.24 and 8,632.40

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Solution

The fourth proportional to 9,878.72, 14,801.24 and 8,632.40 is: 12,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.72 : 14,801.24 = 8,632.40 : x
  2. Step 2: Convert to fraction form
    9,878.72/14,801.24 = 8,632.40/x
  3. Step 3: Cross multiply
    9,878.72x = 14,801.24 × 8,632.40
  4. Step 4: Simplify right side
    9,878.72x = 127,770,224.18
  5. Step 5: Solve for x
    x = 127,770,224.18/9,878.72
  6. Step 6: Final answer
    x = 12,933.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.