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Finding the Fourth Proportional to 9,911.95, 14,866.31 and 3,670.50

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Solution

The fourth proportional to 9,911.95, 14,866.31 and 3,670.50 is: 5,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.95 : 14,866.31 = 3,670.50 : x
  2. Step 2: Convert to fraction form
    9,911.95/14,866.31 = 3,670.50/x
  3. Step 3: Cross multiply
    9,911.95x = 14,866.31 × 3,670.50
  4. Step 4: Simplify right side
    9,911.95x = 54,566,698.17
  5. Step 5: Solve for x
    x = 54,566,698.17/9,911.95
  6. Step 6: Final answer
    x = 5,505.14

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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.