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Finding the Fourth Proportional to 12,277.47, 16,942.46 and 7,505.41

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Solution

The fourth proportional to 12,277.47, 16,942.46 and 7,505.41 is: 10,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.47 : 16,942.46 = 7,505.41 : x
  2. Step 2: Convert to fraction form
    12,277.47/16,942.46 = 7,505.41/x
  3. Step 3: Cross multiply
    12,277.47x = 16,942.46 × 7,505.41
  4. Step 4: Simplify right side
    12,277.47x = 127,160,055.16
  5. Step 5: Solve for x
    x = 127,160,055.16/12,277.47
  6. Step 6: Final answer
    x = 10,357.19

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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.