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Finding the Fourth Proportional to 16,281.69, 24,428.40 and 6,415.50

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Solution

The fourth proportional to 16,281.69, 24,428.40 and 6,415.50 is: 9,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.69 : 24,428.40 = 6,415.50 : x
  2. Step 2: Convert to fraction form
    16,281.69/24,428.40 = 6,415.50/x
  3. Step 3: Cross multiply
    16,281.69x = 24,428.40 × 6,415.50
  4. Step 4: Simplify right side
    16,281.69x = 156,720,400.20
  5. Step 5: Solve for x
    x = 156,720,400.20/16,281.69
  6. Step 6: Final answer
    x = 9,625.56

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1.5x scale

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.