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Finding the Fourth Proportional to 9,415.71, 13,007.18 and 7,524.81

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Solution

The fourth proportional to 9,415.71, 13,007.18 and 7,524.81 is: 10,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.71 : 13,007.18 = 7,524.81 : x
  2. Step 2: Convert to fraction form
    9,415.71/13,007.18 = 7,524.81/x
  3. Step 3: Cross multiply
    9,415.71x = 13,007.18 × 7,524.81
  4. Step 4: Simplify right side
    9,415.71x = 97,876,576.95
  5. Step 5: Solve for x
    x = 97,876,576.95/9,415.71
  6. Step 6: Final answer
    x = 10,395.03

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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.