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Finding the Fourth Proportional to 8,705.47, 13,029.32 and 7,927.26

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Solution

The fourth proportional to 8,705.47, 13,029.32 and 7,927.26 is: 11,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.47 : 13,029.32 = 7,927.26 : x
  2. Step 2: Convert to fraction form
    8,705.47/13,029.32 = 7,927.26/x
  3. Step 3: Cross multiply
    8,705.47x = 13,029.32 × 7,927.26
  4. Step 4: Simplify right side
    8,705.47x = 103,286,807.26
  5. Step 5: Solve for x
    x = 103,286,807.26/8,705.47
  6. Step 6: Final answer
    x = 11,864.59

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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.