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Finding the Fourth Proportional to 9,903.06, 13,666 and 5,426.71

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Solution

The fourth proportional to 9,903.06, 13,666 and 5,426.71 is: 7,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.06 : 13,666 = 5,426.71 : x
  2. Step 2: Convert to fraction form
    9,903.06/13,666 = 5,426.71/x
  3. Step 3: Cross multiply
    9,903.06x = 13,666 × 5,426.71
  4. Step 4: Simplify right side
    9,903.06x = 74,161,418.86
  5. Step 5: Solve for x
    x = 74,161,418.86/9,903.06
  6. Step 6: Final answer
    x = 7,488.74

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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.