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Finding the Fourth Proportional to 7,872.35, 10,845.35 and 5,478.20

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Solution

The fourth proportional to 7,872.35, 10,845.35 and 5,478.20 is: 7,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.35 : 10,845.35 = 5,478.20 : x
  2. Step 2: Convert to fraction form
    7,872.35/10,845.35 = 5,478.20/x
  3. Step 3: Cross multiply
    7,872.35x = 10,845.35 × 5,478.20
  4. Step 4: Simplify right side
    7,872.35x = 59,412,975.97
  5. Step 5: Solve for x
    x = 59,412,975.97/7,872.35
  6. Step 6: Final answer
    x = 7,547.05

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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.