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Finding the Fourth Proportional to 10,771.50, 14,864.67 and 7,045.50

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Solution

The fourth proportional to 10,771.50, 14,864.67 and 7,045.50 is: 9,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.50 : 14,864.67 = 7,045.50 : x
  2. Step 2: Convert to fraction form
    10,771.50/14,864.67 = 7,045.50/x
  3. Step 3: Cross multiply
    10,771.50x = 14,864.67 × 7,045.50
  4. Step 4: Simplify right side
    10,771.50x = 104,729,032.49
  5. Step 5: Solve for x
    x = 104,729,032.49/10,771.50
  6. Step 6: Final answer
    x = 9,722.79

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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.