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Finding the Fourth Proportional to 10,764, 14,848.80 and 6,989.28

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Solution

The fourth proportional to 10,764, 14,848.80 and 6,989.28 is: 9,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764 : 14,848.80 = 6,989.28 : x
  2. Step 2: Convert to fraction form
    10,764/14,848.80 = 6,989.28/x
  3. Step 3: Cross multiply
    10,764x = 14,848.80 × 6,989.28
  4. Step 4: Simplify right side
    10,764x = 103,782,420.86
  5. Step 5: Solve for x
    x = 103,782,420.86/10,764
  6. Step 6: Final answer
    x = 9,641.62

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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.