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Finding the Fourth Proportional to 11,349.36, 16,978.68 and 10,102.32

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Solution

The fourth proportional to 11,349.36, 16,978.68 and 10,102.32 is: 15,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.36 : 16,978.68 = 10,102.32 : x
  2. Step 2: Convert to fraction form
    11,349.36/16,978.68 = 10,102.32/x
  3. Step 3: Cross multiply
    11,349.36x = 16,978.68 × 10,102.32
  4. Step 4: Simplify right side
    11,349.36x = 171,524,058.54
  5. Step 5: Solve for x
    x = 171,524,058.54/11,349.36
  6. Step 6: Final answer
    x = 15,113.10

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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.