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Finding the Fourth Proportional to 7,946.02, 10,978.73 and 6,280.22

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Solution

The fourth proportional to 7,946.02, 10,978.73 and 6,280.22 is: 8,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.02 : 10,978.73 = 6,280.22 : x
  2. Step 2: Convert to fraction form
    7,946.02/10,978.73 = 6,280.22/x
  3. Step 3: Cross multiply
    7,946.02x = 10,978.73 × 6,280.22
  4. Step 4: Simplify right side
    7,946.02x = 68,948,839.72
  5. Step 5: Solve for x
    x = 68,948,839.72/7,946.02
  6. Step 6: Final answer
    x = 8,677.15

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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.