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Finding the Fourth Proportional to 30,574.89, 45,868.82 and 9,812.97

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Solution

The fourth proportional to 30,574.89, 45,868.82 and 9,812.97 is: 14,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.89 : 45,868.82 = 9,812.97 : x
  2. Step 2: Convert to fraction form
    30,574.89/45,868.82 = 9,812.97/x
  3. Step 3: Cross multiply
    30,574.89x = 45,868.82 × 9,812.97
  4. Step 4: Simplify right side
    30,574.89x = 450,109,305.53
  5. Step 5: Solve for x
    x = 450,109,305.53/30,574.89
  6. Step 6: Final answer
    x = 14,721.53

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1.5x scale

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.