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Finding the Fourth Proportional to 9,305.78, 12,841.76 and 5,056.74

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Solution

The fourth proportional to 9,305.78, 12,841.76 and 5,056.74 is: 6,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.78 : 12,841.76 = 5,056.74 : x
  2. Step 2: Convert to fraction form
    9,305.78/12,841.76 = 5,056.74/x
  3. Step 3: Cross multiply
    9,305.78x = 12,841.76 × 5,056.74
  4. Step 4: Simplify right side
    9,305.78x = 64,937,441.46
  5. Step 5: Solve for x
    x = 64,937,441.46/9,305.78
  6. Step 6: Final answer
    x = 6,978.18

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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.