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Finding the Fourth Proportional to 11,225.48, 15,490.10 and 6,509.25

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Solution

The fourth proportional to 11,225.48, 15,490.10 and 6,509.25 is: 8,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.48 : 15,490.10 = 6,509.25 : x
  2. Step 2: Convert to fraction form
    11,225.48/15,490.10 = 6,509.25/x
  3. Step 3: Cross multiply
    11,225.48x = 15,490.10 × 6,509.25
  4. Step 4: Simplify right side
    11,225.48x = 100,828,933.43
  5. Step 5: Solve for x
    x = 100,828,933.43/11,225.48
  6. Step 6: Final answer
    x = 8,982.15

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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.