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Finding the Fourth Proportional to 13,598.48, 20,399.88 and 8,410.16

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Solution

The fourth proportional to 13,598.48, 20,399.88 and 8,410.16 is: 12,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.48 : 20,399.88 = 8,410.16 : x
  2. Step 2: Convert to fraction form
    13,598.48/20,399.88 = 8,410.16/x
  3. Step 3: Cross multiply
    13,598.48x = 20,399.88 × 8,410.16
  4. Step 4: Simplify right side
    13,598.48x = 171,566,254.78
  5. Step 5: Solve for x
    x = 171,566,254.78/13,598.48
  6. Step 6: Final answer
    x = 12,616.58

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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.