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Finding the Fourth Proportional to 8,928.30, 13,394.70 and 7,807.26

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Solution

The fourth proportional to 8,928.30, 13,394.70 and 7,807.26 is: 11,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,928.30 : 13,394.70 = 7,807.26 : x
  2. Step 2: Convert to fraction form
    8,928.30/13,394.70 = 7,807.26/x
  3. Step 3: Cross multiply
    8,928.30x = 13,394.70 × 7,807.26
  4. Step 4: Simplify right side
    8,928.30x = 104,575,905.52
  5. Step 5: Solve for x
    x = 104,575,905.52/8,928.30
  6. Step 6: Final answer
    x = 11,712.86

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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.