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Finding the Fourth Proportional to 7,489, 10,336.71 and 4,347.01

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Solution

The fourth proportional to 7,489, 10,336.71 and 4,347.01 is: 5,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489 : 10,336.71 = 4,347.01 : x
  2. Step 2: Convert to fraction form
    7,489/10,336.71 = 4,347.01/x
  3. Step 3: Cross multiply
    7,489x = 10,336.71 × 4,347.01
  4. Step 4: Simplify right side
    7,489x = 44,933,781.74
  5. Step 5: Solve for x
    x = 44,933,781.74/7,489
  6. Step 6: Final answer
    x = 5,999.97

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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.