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Finding the Fourth Proportional to 17,643, 26,471.40 and 7,775.34

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Solution

The fourth proportional to 17,643, 26,471.40 and 7,775.34 is: 11,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643 : 26,471.40 = 7,775.34 : x
  2. Step 2: Convert to fraction form
    17,643/26,471.40 = 7,775.34/x
  3. Step 3: Cross multiply
    17,643x = 26,471.40 × 7,775.34
  4. Step 4: Simplify right side
    17,643x = 205,824,135.28
  5. Step 5: Solve for x
    x = 205,824,135.28/17,643
  6. Step 6: Final answer
    x = 11,666.05

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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.