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Finding the Fourth Proportional to 30,444, 45,679.68 and 19,347.81

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Solution

The fourth proportional to 30,444, 45,679.68 and 19,347.81 is: 29,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,444 : 45,679.68 = 19,347.81 : x
  2. Step 2: Convert to fraction form
    30,444/45,679.68 = 19,347.81/x
  3. Step 3: Cross multiply
    30,444x = 45,679.68 × 19,347.81
  4. Step 4: Simplify right side
    30,444x = 883,801,769.50
  5. Step 5: Solve for x
    x = 883,801,769.50/30,444
  6. Step 6: Final answer
    x = 29,030.41

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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.