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Finding the Fourth Proportional to 15,913.70, 23,896.05 and 12,653.90

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Solution

The fourth proportional to 15,913.70, 23,896.05 and 12,653.90 is: 19,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.70 : 23,896.05 = 12,653.90 : x
  2. Step 2: Convert to fraction form
    15,913.70/23,896.05 = 12,653.90/x
  3. Step 3: Cross multiply
    15,913.70x = 23,896.05 × 12,653.90
  4. Step 4: Simplify right side
    15,913.70x = 302,378,227.10
  5. Step 5: Solve for x
    x = 302,378,227.10/15,913.70
  6. Step 6: Final answer
    x = 19,001.13

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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.