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Finding the Fourth Proportional to 34,578, 51,867.02 and 9,954

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Solution

The fourth proportional to 34,578, 51,867.02 and 9,954 is: 14,931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578 : 51,867.02 = 9,954 : x
  2. Step 2: Convert to fraction form
    34,578/51,867.02 = 9,954/x
  3. Step 3: Cross multiply
    34,578x = 51,867.02 × 9,954
  4. Step 4: Simplify right side
    34,578x = 516,284,317.08
  5. Step 5: Solve for x
    x = 516,284,317.08/34,578
  6. Step 6: Final answer
    x = 14,931.01

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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.