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Finding the Fourth Proportional to 10,524.03, 15,782.56 and 3,502.10

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Solution

The fourth proportional to 10,524.03, 15,782.56 and 3,502.10 is: 5,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.03 : 15,782.56 = 3,502.10 : x
  2. Step 2: Convert to fraction form
    10,524.03/15,782.56 = 3,502.10/x
  3. Step 3: Cross multiply
    10,524.03x = 15,782.56 × 3,502.10
  4. Step 4: Simplify right side
    10,524.03x = 55,272,153.78
  5. Step 5: Solve for x
    x = 55,272,153.78/10,524.03
  6. Step 6: Final answer
    x = 5,252.00

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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.