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Finding the Fourth Proportional to 16,989.73, 23,445.98 and 9,914.77

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Solution

The fourth proportional to 16,989.73, 23,445.98 and 9,914.77 is: 13,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989.73 : 23,445.98 = 9,914.77 : x
  2. Step 2: Convert to fraction form
    16,989.73/23,445.98 = 9,914.77/x
  3. Step 3: Cross multiply
    16,989.73x = 23,445.98 × 9,914.77
  4. Step 4: Simplify right side
    16,989.73x = 232,461,449.55
  5. Step 5: Solve for x
    x = 232,461,449.55/16,989.73
  6. Step 6: Final answer
    x = 13,682.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.