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Finding the Fourth Proportional to 15,663.78, 23,496.35 and 4,571.42

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Solution

The fourth proportional to 15,663.78, 23,496.35 and 4,571.42 is: 6,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.78 : 23,496.35 = 4,571.42 : x
  2. Step 2: Convert to fraction form
    15,663.78/23,496.35 = 4,571.42/x
  3. Step 3: Cross multiply
    15,663.78x = 23,496.35 × 4,571.42
  4. Step 4: Simplify right side
    15,663.78x = 107,411,543.98
  5. Step 5: Solve for x
    x = 107,411,543.98/15,663.78
  6. Step 6: Final answer
    x = 6,857.32

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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.