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Finding the Fourth Proportional to 30,613.42, 45,815.28 and 21,263.98

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Solution

The fourth proportional to 30,613.42, 45,815.28 and 21,263.98 is: 31,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.42 : 45,815.28 = 21,263.98 : x
  2. Step 2: Convert to fraction form
    30,613.42/45,815.28 = 21,263.98/x
  3. Step 3: Cross multiply
    30,613.42x = 45,815.28 × 21,263.98
  4. Step 4: Simplify right side
    30,613.42x = 974,215,197.61
  5. Step 5: Solve for x
    x = 974,215,197.61/30,613.42
  6. Step 6: Final answer
    x = 31,823.14

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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.