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Finding the Fourth Proportional to 10,210.45, 15,295 and 9,359.95

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Solution

The fourth proportional to 10,210.45, 15,295 and 9,359.95 is: 14,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.45 : 15,295 = 9,359.95 : x
  2. Step 2: Convert to fraction form
    10,210.45/15,295 = 9,359.95/x
  3. Step 3: Cross multiply
    10,210.45x = 15,295 × 9,359.95
  4. Step 4: Simplify right side
    10,210.45x = 143,160,435.25
  5. Step 5: Solve for x
    x = 143,160,435.25/10,210.45
  6. Step 6: Final answer
    x = 14,020.97

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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.