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Finding the Fourth Proportional to 11,343.08, 15,648 and 7,365.44

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Solution

The fourth proportional to 11,343.08, 15,648 and 7,365.44 is: 10,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.08 : 15,648 = 7,365.44 : x
  2. Step 2: Convert to fraction form
    11,343.08/15,648 = 7,365.44/x
  3. Step 3: Cross multiply
    11,343.08x = 15,648 × 7,365.44
  4. Step 4: Simplify right side
    11,343.08x = 115,254,405.12
  5. Step 5: Solve for x
    x = 115,254,405.12/11,343.08
  6. Step 6: Final answer
    x = 10,160.77

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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.