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Finding the Fourth Proportional to 9,270.47, 12,780.86 and 7,671.22

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Solution

The fourth proportional to 9,270.47, 12,780.86 and 7,671.22 is: 10,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.47 : 12,780.86 = 7,671.22 : x
  2. Step 2: Convert to fraction form
    9,270.47/12,780.86 = 7,671.22/x
  3. Step 3: Cross multiply
    9,270.47x = 12,780.86 × 7,671.22
  4. Step 4: Simplify right side
    9,270.47x = 98,044,790.43
  5. Step 5: Solve for x
    x = 98,044,790.43/9,270.47
  6. Step 6: Final answer
    x = 10,576.04

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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.