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Finding the Fourth Proportional to 17,726.80, 26,583.90 and 7,848.40

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Solution

The fourth proportional to 17,726.80, 26,583.90 and 7,848.40 is: 11,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.80 : 26,583.90 = 7,848.40 : x
  2. Step 2: Convert to fraction form
    17,726.80/26,583.90 = 7,848.40/x
  3. Step 3: Cross multiply
    17,726.80x = 26,583.90 × 7,848.40
  4. Step 4: Simplify right side
    17,726.80x = 208,641,080.76
  5. Step 5: Solve for x
    x = 208,641,080.76/17,726.80
  6. Step 6: Final answer
    x = 11,769.81

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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.