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Finding the Fourth Proportional to 30,288, 45,432.42 and 9,511.50

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Solution

The fourth proportional to 30,288, 45,432.42 and 9,511.50 is: 14,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288 : 45,432.42 = 9,511.50 : x
  2. Step 2: Convert to fraction form
    30,288/45,432.42 = 9,511.50/x
  3. Step 3: Cross multiply
    30,288x = 45,432.42 × 9,511.50
  4. Step 4: Simplify right side
    30,288x = 432,130,462.83
  5. Step 5: Solve for x
    x = 432,130,462.83/30,288
  6. Step 6: Final answer
    x = 14,267.38

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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.