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Finding the Fourth Proportional to 12,698.70, 17,525.77 and 7,665.80

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Solution

The fourth proportional to 12,698.70, 17,525.77 and 7,665.80 is: 10,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.70 : 17,525.77 = 7,665.80 : x
  2. Step 2: Convert to fraction form
    12,698.70/17,525.77 = 7,665.80/x
  3. Step 3: Cross multiply
    12,698.70x = 17,525.77 × 7,665.80
  4. Step 4: Simplify right side
    12,698.70x = 134,349,047.67
  5. Step 5: Solve for x
    x = 134,349,047.67/12,698.70
  6. Step 6: Final answer
    x = 10,579.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.