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Finding the Fourth Proportional to 30,495.42, 45,772.02 and 15,714.54

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Solution

The fourth proportional to 30,495.42, 45,772.02 and 15,714.54 is: 23,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.42 : 45,772.02 = 15,714.54 : x
  2. Step 2: Convert to fraction form
    30,495.42/45,772.02 = 15,714.54/x
  3. Step 3: Cross multiply
    30,495.42x = 45,772.02 × 15,714.54
  4. Step 4: Simplify right side
    30,495.42x = 719,286,239.17
  5. Step 5: Solve for x
    x = 719,286,239.17/30,495.42
  6. Step 6: Final answer
    x = 23,586.70

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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.