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Finding the Fourth Proportional to 30,506.31, 45,748.74 and 9,152.66

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Solution

The fourth proportional to 30,506.31, 45,748.74 and 9,152.66 is: 13,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.31 : 45,748.74 = 9,152.66 : x
  2. Step 2: Convert to fraction form
    30,506.31/45,748.74 = 9,152.66/x
  3. Step 3: Cross multiply
    30,506.31x = 45,748.74 × 9,152.66
  4. Step 4: Simplify right side
    30,506.31x = 418,722,388.14
  5. Step 5: Solve for x
    x = 418,722,388.14/30,506.31
  6. Step 6: Final answer
    x = 13,725.76

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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.