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Finding the Fourth Proportional to 9,212.88, 12,700.90 and 7,790.86

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Solution

The fourth proportional to 9,212.88, 12,700.90 and 7,790.86 is: 10,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.88 : 12,700.90 = 7,790.86 : x
  2. Step 2: Convert to fraction form
    9,212.88/12,700.90 = 7,790.86/x
  3. Step 3: Cross multiply
    9,212.88x = 12,700.90 × 7,790.86
  4. Step 4: Simplify right side
    9,212.88x = 98,950,930.17
  5. Step 5: Solve for x
    x = 98,950,930.17/9,212.88
  6. Step 6: Final answer
    x = 10,740.49

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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.