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Finding the Fourth Proportional to 10,904, 15,046.32 and 6,188.32

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Solution

The fourth proportional to 10,904, 15,046.32 and 6,188.32 is: 8,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904 : 15,046.32 = 6,188.32 : x
  2. Step 2: Convert to fraction form
    10,904/15,046.32 = 6,188.32/x
  3. Step 3: Cross multiply
    10,904x = 15,046.32 × 6,188.32
  4. Step 4: Simplify right side
    10,904x = 93,111,442.98
  5. Step 5: Solve for x
    x = 93,111,442.98/10,904
  6. Step 6: Final answer
    x = 8,539.20

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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.