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Finding the Fourth Proportional to 30,455.29, 45,687.86 and 9,390.40

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Solution

The fourth proportional to 30,455.29, 45,687.86 and 9,390.40 is: 14,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,455.29 : 45,687.86 = 9,390.40 : x
  2. Step 2: Convert to fraction form
    30,455.29/45,687.86 = 9,390.40/x
  3. Step 3: Cross multiply
    30,455.29x = 45,687.86 × 9,390.40
  4. Step 4: Simplify right side
    30,455.29x = 429,027,280.54
  5. Step 5: Solve for x
    x = 429,027,280.54/30,455.29
  6. Step 6: Final answer
    x = 14,087.12

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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.