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Finding the Fourth Proportional to 9,913.07, 14,866.09 and 7,131.40

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Solution

The fourth proportional to 9,913.07, 14,866.09 and 7,131.40 is: 10,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.07 : 14,866.09 = 7,131.40 : x
  2. Step 2: Convert to fraction form
    9,913.07/14,866.09 = 7,131.40/x
  3. Step 3: Cross multiply
    9,913.07x = 14,866.09 × 7,131.40
  4. Step 4: Simplify right side
    9,913.07x = 106,016,034.23
  5. Step 5: Solve for x
    x = 106,016,034.23/9,913.07
  6. Step 6: Final answer
    x = 10,694.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.