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Finding the Fourth Proportional to 15,824.36, 21,847.09 and 9,864.10

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Solution

The fourth proportional to 15,824.36, 21,847.09 and 9,864.10 is: 13,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.36 : 21,847.09 = 9,864.10 : x
  2. Step 2: Convert to fraction form
    15,824.36/21,847.09 = 9,864.10/x
  3. Step 3: Cross multiply
    15,824.36x = 21,847.09 × 9,864.10
  4. Step 4: Simplify right side
    15,824.36x = 215,501,880.47
  5. Step 5: Solve for x
    x = 215,501,880.47/15,824.36
  6. Step 6: Final answer
    x = 13,618.36

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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.