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Finding the Fourth Proportional to 7,998, 11,054.72 and 7,046.52

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Solution

The fourth proportional to 7,998, 11,054.72 and 7,046.52 is: 9,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998 : 11,054.72 = 7,046.52 : x
  2. Step 2: Convert to fraction form
    7,998/11,054.72 = 7,046.52/x
  3. Step 3: Cross multiply
    7,998x = 11,054.72 × 7,046.52
  4. Step 4: Simplify right side
    7,998x = 77,897,305.57
  5. Step 5: Solve for x
    x = 77,897,305.57/7,998
  6. Step 6: Final answer
    x = 9,739.60

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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.