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Finding the Fourth Proportional to 7,927.30, 10,906.14 and 7,708.60

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Solution

The fourth proportional to 7,927.30, 10,906.14 and 7,708.60 is: 10,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.30 : 10,906.14 = 7,708.60 : x
  2. Step 2: Convert to fraction form
    7,927.30/10,906.14 = 7,708.60/x
  3. Step 3: Cross multiply
    7,927.30x = 10,906.14 × 7,708.60
  4. Step 4: Simplify right side
    7,927.30x = 84,071,070.80
  5. Step 5: Solve for x
    x = 84,071,070.80/7,927.30
  6. Step 6: Final answer
    x = 10,605.26

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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.