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Finding the Fourth Proportional to 30,281.95, 45,425.95 and 11,577.72

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Solution

The fourth proportional to 30,281.95, 45,425.95 and 11,577.72 is: 17,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281.95 : 45,425.95 = 11,577.72 : x
  2. Step 2: Convert to fraction form
    30,281.95/45,425.95 = 11,577.72/x
  3. Step 3: Cross multiply
    30,281.95x = 45,425.95 × 11,577.72
  4. Step 4: Simplify right side
    30,281.95x = 525,929,136.36
  5. Step 5: Solve for x
    x = 525,929,136.36/30,281.95
  6. Step 6: Final answer
    x = 17,367.74

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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.