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Finding the Fourth Proportional to 11,448.40, 15,798.96 and 6,972.36

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Solution

The fourth proportional to 11,448.40, 15,798.96 and 6,972.36 is: 9,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.40 : 15,798.96 = 6,972.36 : x
  2. Step 2: Convert to fraction form
    11,448.40/15,798.96 = 6,972.36/x
  3. Step 3: Cross multiply
    11,448.40x = 15,798.96 × 6,972.36
  4. Step 4: Simplify right side
    11,448.40x = 110,156,036.75
  5. Step 5: Solve for x
    x = 110,156,036.75/11,448.40
  6. Step 6: Final answer
    x = 9,621.96

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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.