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Finding the Fourth Proportional to 19,931.05, 27,505.07 and 10,978.37

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Solution

The fourth proportional to 19,931.05, 27,505.07 and 10,978.37 is: 15,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931.05 : 27,505.07 = 10,978.37 : x
  2. Step 2: Convert to fraction form
    19,931.05/27,505.07 = 10,978.37/x
  3. Step 3: Cross multiply
    19,931.05x = 27,505.07 × 10,978.37
  4. Step 4: Simplify right side
    19,931.05x = 301,960,725.26
  5. Step 5: Solve for x
    x = 301,960,725.26/19,931.05
  6. Step 6: Final answer
    x = 15,150.27

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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.