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Finding the Fourth Proportional to 7,946.04, 10,978.72 and 6,280.22

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Solution

The fourth proportional to 7,946.04, 10,978.72 and 6,280.22 is: 8,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.04 : 10,978.72 = 6,280.22 : x
  2. Step 2: Convert to fraction form
    7,946.04/10,978.72 = 6,280.22/x
  3. Step 3: Cross multiply
    7,946.04x = 10,978.72 × 6,280.22
  4. Step 4: Simplify right side
    7,946.04x = 68,948,776.92
  5. Step 5: Solve for x
    x = 68,948,776.92/7,946.04
  6. Step 6: Final answer
    x = 8,677.12

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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.