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Finding the Fourth Proportional to 35,516.78, 53,275.20 and 9,219.32

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Solution

The fourth proportional to 35,516.78, 53,275.20 and 9,219.32 is: 13,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,516.78 : 53,275.20 = 9,219.32 : x
  2. Step 2: Convert to fraction form
    35,516.78/53,275.20 = 9,219.32/x
  3. Step 3: Cross multiply
    35,516.78x = 53,275.20 × 9,219.32
  4. Step 4: Simplify right side
    35,516.78x = 491,161,116.86
  5. Step 5: Solve for x
    x = 491,161,116.86/35,516.78
  6. Step 6: Final answer
    x = 13,828.99

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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.