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Finding the Fourth Proportional to 8,953.29, 12,356.67 and 5,416.49

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Solution

The fourth proportional to 8,953.29, 12,356.67 and 5,416.49 is: 7,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.29 : 12,356.67 = 5,416.49 : x
  2. Step 2: Convert to fraction form
    8,953.29/12,356.67 = 5,416.49/x
  3. Step 3: Cross multiply
    8,953.29x = 12,356.67 × 5,416.49
  4. Step 4: Simplify right side
    8,953.29x = 66,929,779.49
  5. Step 5: Solve for x
    x = 66,929,779.49/8,953.29
  6. Step 6: Final answer
    x = 7,475.44

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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.