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Finding the Fourth Proportional to 6,878.35, 10,319.13 and 5,478.07

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Solution

The fourth proportional to 6,878.35, 10,319.13 and 5,478.07 is: 8,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.35 : 10,319.13 = 5,478.07 : x
  2. Step 2: Convert to fraction form
    6,878.35/10,319.13 = 5,478.07/x
  3. Step 3: Cross multiply
    6,878.35x = 10,319.13 × 5,478.07
  4. Step 4: Simplify right side
    6,878.35x = 56,528,916.48
  5. Step 5: Solve for x
    x = 56,528,916.48/6,878.35
  6. Step 6: Final answer
    x = 8,218.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.