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Finding the Fourth Proportional to 11,645.79, 17,468.64 and 5,071.20

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Solution

The fourth proportional to 11,645.79, 17,468.64 and 5,071.20 is: 7,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.79 : 17,468.64 = 5,071.20 : x
  2. Step 2: Convert to fraction form
    11,645.79/17,468.64 = 5,071.20/x
  3. Step 3: Cross multiply
    11,645.79x = 17,468.64 × 5,071.20
  4. Step 4: Simplify right side
    11,645.79x = 88,586,967.17
  5. Step 5: Solve for x
    x = 88,586,967.17/11,645.79
  6. Step 6: Final answer
    x = 7,606.78

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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.