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Finding the Fourth Proportional to 15,901.82, 23,857 and 5,513.58

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Solution

The fourth proportional to 15,901.82, 23,857 and 5,513.58 is: 8,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.82 : 23,857 = 5,513.58 : x
  2. Step 2: Convert to fraction form
    15,901.82/23,857 = 5,513.58/x
  3. Step 3: Cross multiply
    15,901.82x = 23,857 × 5,513.58
  4. Step 4: Simplify right side
    15,901.82x = 131,537,478.06
  5. Step 5: Solve for x
    x = 131,537,478.06/15,901.82
  6. Step 6: Final answer
    x = 8,271.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.