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Finding the Fourth Proportional to 9,182.10, 12,663 and 7,768.86

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Solution

The fourth proportional to 9,182.10, 12,663 and 7,768.86 is: 10,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.10 : 12,663 = 7,768.86 : x
  2. Step 2: Convert to fraction form
    9,182.10/12,663 = 7,768.86/x
  3. Step 3: Cross multiply
    9,182.10x = 12,663 × 7,768.86
  4. Step 4: Simplify right side
    9,182.10x = 98,377,074.18
  5. Step 5: Solve for x
    x = 98,377,074.18/9,182.10
  6. Step 6: Final answer
    x = 10,714.01

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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.