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Finding the Fourth Proportional to 15,913.64, 21,959.78 and 9,945

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Solution

The fourth proportional to 15,913.64, 21,959.78 and 9,945 is: 13,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.64 : 21,959.78 = 9,945 : x
  2. Step 2: Convert to fraction form
    15,913.64/21,959.78 = 9,945/x
  3. Step 3: Cross multiply
    15,913.64x = 21,959.78 × 9,945
  4. Step 4: Simplify right side
    15,913.64x = 218,390,012.10
  5. Step 5: Solve for x
    x = 218,390,012.10/15,913.64
  6. Step 6: Final answer
    x = 13,723.45

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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.