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Finding the Fourth Proportional to 17,865, 26,809.79 and 6,178.23

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Solution

The fourth proportional to 17,865, 26,809.79 and 6,178.23 is: 9,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865 : 26,809.79 = 6,178.23 : x
  2. Step 2: Convert to fraction form
    17,865/26,809.79 = 6,178.23/x
  3. Step 3: Cross multiply
    17,865x = 26,809.79 × 6,178.23
  4. Step 4: Simplify right side
    17,865x = 165,637,017.98
  5. Step 5: Solve for x
    x = 165,637,017.98/17,865
  6. Step 6: Final answer
    x = 9,271.59

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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.