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Finding the Fourth Proportional to 16,393.76, 22,631.10 and 12,813.93

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Solution

The fourth proportional to 16,393.76, 22,631.10 and 12,813.93 is: 17,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,393.76 : 22,631.10 = 12,813.93 : x
  2. Step 2: Convert to fraction form
    16,393.76/22,631.10 = 12,813.93/x
  3. Step 3: Cross multiply
    16,393.76x = 22,631.10 × 12,813.93
  4. Step 4: Simplify right side
    16,393.76x = 289,993,283.17
  5. Step 5: Solve for x
    x = 289,993,283.17/16,393.76
  6. Step 6: Final answer
    x = 17,689.25

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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.