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Finding the Fourth Proportional to 7,853.30, 11,009.20 and 7,853.30

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Solution

The fourth proportional to 7,853.30, 11,009.20 and 7,853.30 is: 11,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.30 : 11,009.20 = 7,853.30 : x
  2. Step 2: Convert to fraction form
    7,853.30/11,009.20 = 7,853.30/x
  3. Step 3: Cross multiply
    7,853.30x = 11,009.20 × 7,853.30
  4. Step 4: Simplify right side
    7,853.30x = 86,458,550.36
  5. Step 5: Solve for x
    x = 86,458,550.36/7,853.30
  6. Step 6: Final answer
    x = 11,009.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.