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Finding the Fourth Proportional to 30,462.44, 45,679.12 and 17,815.76

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Solution

The fourth proportional to 30,462.44, 45,679.12 and 17,815.76 is: 26,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.44 : 45,679.12 = 17,815.76 : x
  2. Step 2: Convert to fraction form
    30,462.44/45,679.12 = 17,815.76/x
  3. Step 3: Cross multiply
    30,462.44x = 45,679.12 × 17,815.76
  4. Step 4: Simplify right side
    30,462.44x = 813,808,032.81
  5. Step 5: Solve for x
    x = 813,808,032.81/30,462.44
  6. Step 6: Final answer
    x = 26,715.13

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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.