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Finding the Fourth Proportional to 6,478.79, 9,715.95 and 2,778.71

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Solution

The fourth proportional to 6,478.79, 9,715.95 and 2,778.71 is: 4,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.79 : 9,715.95 = 2,778.71 : x
  2. Step 2: Convert to fraction form
    6,478.79/9,715.95 = 2,778.71/x
  3. Step 3: Cross multiply
    6,478.79x = 9,715.95 × 2,778.71
  4. Step 4: Simplify right side
    6,478.79x = 26,997,758.84
  5. Step 5: Solve for x
    x = 26,997,758.84/6,478.79
  6. Step 6: Final answer
    x = 4,167.10

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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.