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Finding the Fourth Proportional to 10,548.64, 15,805.38 and 7,423.06

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Solution

The fourth proportional to 10,548.64, 15,805.38 and 7,423.06 is: 11,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.64 : 15,805.38 = 7,423.06 : x
  2. Step 2: Convert to fraction form
    10,548.64/15,805.38 = 7,423.06/x
  3. Step 3: Cross multiply
    10,548.64x = 15,805.38 × 7,423.06
  4. Step 4: Simplify right side
    10,548.64x = 117,324,284.06
  5. Step 5: Solve for x
    x = 117,324,284.06/10,548.64
  6. Step 6: Final answer
    x = 11,122.22

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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.