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Finding the Fourth Proportional to 30,969.28, 46,444 and 10,187.84

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Solution

The fourth proportional to 30,969.28, 46,444 and 10,187.84 is: 15,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.28 : 46,444 = 10,187.84 : x
  2. Step 2: Convert to fraction form
    30,969.28/46,444 = 10,187.84/x
  3. Step 3: Cross multiply
    30,969.28x = 46,444 × 10,187.84
  4. Step 4: Simplify right side
    30,969.28x = 473,164,040.96
  5. Step 5: Solve for x
    x = 473,164,040.96/30,969.28
  6. Step 6: Final answer
    x = 15,278.50

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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.