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Finding the Fourth Proportional to 11,643.78, 17,442.78 and 7,682.95

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Solution

The fourth proportional to 11,643.78, 17,442.78 and 7,682.95 is: 11,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.78 : 17,442.78 = 7,682.95 : x
  2. Step 2: Convert to fraction form
    11,643.78/17,442.78 = 7,682.95/x
  3. Step 3: Cross multiply
    11,643.78x = 17,442.78 × 7,682.95
  4. Step 4: Simplify right side
    11,643.78x = 134,011,999.59
  5. Step 5: Solve for x
    x = 134,011,999.59/11,643.78
  6. Step 6: Final answer
    x = 11,509.32

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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.