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Finding the Fourth Proportional to 14,130.66, 19,500.32 and 7,757.28

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Solution

The fourth proportional to 14,130.66, 19,500.32 and 7,757.28 is: 10,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.66 : 19,500.32 = 7,757.28 : x
  2. Step 2: Convert to fraction form
    14,130.66/19,500.32 = 7,757.28/x
  3. Step 3: Cross multiply
    14,130.66x = 19,500.32 × 7,757.28
  4. Step 4: Simplify right side
    14,130.66x = 151,269,442.33
  5. Step 5: Solve for x
    x = 151,269,442.33/14,130.66
  6. Step 6: Final answer
    x = 10,705.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.