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Finding the Fourth Proportional to 7,940.79, 10,957.40 and 4,914.53

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Solution

The fourth proportional to 7,940.79, 10,957.40 and 4,914.53 is: 6,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.79 : 10,957.40 = 4,914.53 : x
  2. Step 2: Convert to fraction form
    7,940.79/10,957.40 = 4,914.53/x
  3. Step 3: Cross multiply
    7,940.79x = 10,957.40 × 4,914.53
  4. Step 4: Simplify right side
    7,940.79x = 53,850,471.02
  5. Step 5: Solve for x
    x = 53,850,471.02/7,940.79
  6. Step 6: Final answer
    x = 6,781.50

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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.