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Finding the Fourth Proportional to 30,506.81, 45,749.49 and 9,153.16

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Solution

The fourth proportional to 30,506.81, 45,749.49 and 9,153.16 is: 13,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.81 : 45,749.49 = 9,153.16 : x
  2. Step 2: Convert to fraction form
    30,506.81/45,749.49 = 9,153.16/x
  3. Step 3: Cross multiply
    30,506.81x = 45,749.49 × 9,153.16
  4. Step 4: Simplify right side
    30,506.81x = 418,752,401.89
  5. Step 5: Solve for x
    x = 418,752,401.89/30,506.81
  6. Step 6: Final answer
    x = 13,726.52

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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.