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Finding the Fourth Proportional to 11,349, 15,661.62 and 6,637.24

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Solution

The fourth proportional to 11,349, 15,661.62 and 6,637.24 is: 9,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349 : 15,661.62 = 6,637.24 : x
  2. Step 2: Convert to fraction form
    11,349/15,661.62 = 6,637.24/x
  3. Step 3: Cross multiply
    11,349x = 15,661.62 × 6,637.24
  4. Step 4: Simplify right side
    11,349x = 103,949,930.73
  5. Step 5: Solve for x
    x = 103,949,930.73/11,349
  6. Step 6: Final answer
    x = 9,159.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.