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Finding the Fourth Proportional to 17,720.56, 26,587.44 and 7,852.80

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Solution

The fourth proportional to 17,720.56, 26,587.44 and 7,852.80 is: 11,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.56 : 26,587.44 = 7,852.80 : x
  2. Step 2: Convert to fraction form
    17,720.56/26,587.44 = 7,852.80/x
  3. Step 3: Cross multiply
    17,720.56x = 26,587.44 × 7,852.80
  4. Step 4: Simplify right side
    17,720.56x = 208,785,848.83
  5. Step 5: Solve for x
    x = 208,785,848.83/17,720.56
  6. Step 6: Final answer
    x = 11,782.12

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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.