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Finding the Fourth Proportional to 30,184.78, 45,281.22 and 11,471.77

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Solution

The fourth proportional to 30,184.78, 45,281.22 and 11,471.77 is: 17,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.78 : 45,281.22 = 11,471.77 : x
  2. Step 2: Convert to fraction form
    30,184.78/45,281.22 = 11,471.77/x
  3. Step 3: Cross multiply
    30,184.78x = 45,281.22 × 11,471.77
  4. Step 4: Simplify right side
    30,184.78x = 519,455,741.16
  5. Step 5: Solve for x
    x = 519,455,741.16/30,184.78
  6. Step 6: Final answer
    x = 17,209.19

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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.