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Finding the Fourth Proportional to 30,494.58, 45,748.28 and 10,505.89

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Solution

The fourth proportional to 30,494.58, 45,748.28 and 10,505.89 is: 15,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.58 : 45,748.28 = 10,505.89 : x
  2. Step 2: Convert to fraction form
    30,494.58/45,748.28 = 10,505.89/x
  3. Step 3: Cross multiply
    30,494.58x = 45,748.28 × 10,505.89
  4. Step 4: Simplify right side
    30,494.58x = 480,626,256.96
  5. Step 5: Solve for x
    x = 480,626,256.96/30,494.58
  6. Step 6: Final answer
    x = 15,761.04

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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.