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Finding the Fourth Proportional to 7,848.30, 11,761.65 and 5,208.30

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Solution

The fourth proportional to 7,848.30, 11,761.65 and 5,208.30 is: 7,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.30 : 11,761.65 = 5,208.30 : x
  2. Step 2: Convert to fraction form
    7,848.30/11,761.65 = 5,208.30/x
  3. Step 3: Cross multiply
    7,848.30x = 11,761.65 × 5,208.30
  4. Step 4: Simplify right side
    7,848.30x = 61,258,201.70
  5. Step 5: Solve for x
    x = 61,258,201.70/7,848.30
  6. Step 6: Final answer
    x = 7,805.28

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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.