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Finding the Fourth Proportional to 10,840.36, 16,278.54 and 6,762.28

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Solution

The fourth proportional to 10,840.36, 16,278.54 and 6,762.28 is: 10,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.36 : 16,278.54 = 6,762.28 : x
  2. Step 2: Convert to fraction form
    10,840.36/16,278.54 = 6,762.28/x
  3. Step 3: Cross multiply
    10,840.36x = 16,278.54 × 6,762.28
  4. Step 4: Simplify right side
    10,840.36x = 110,080,045.47
  5. Step 5: Solve for x
    x = 110,080,045.47/10,840.36
  6. Step 6: Final answer
    x = 10,154.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.