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Finding the Fourth Proportional to 15,866.43, 21,898.00 and 9,150.74

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Solution

The fourth proportional to 15,866.43, 21,898.00 and 9,150.74 is: 12,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.43 : 21,898.00 = 9,150.74 : x
  2. Step 2: Convert to fraction form
    15,866.43/21,898.00 = 9,150.74/x
  3. Step 3: Cross multiply
    15,866.43x = 21,898.00 × 9,150.74
  4. Step 4: Simplify right side
    15,866.43x = 200,382,837.11
  5. Step 5: Solve for x
    x = 200,382,837.11/15,866.43
  6. Step 6: Final answer
    x = 12,629.36

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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.