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Finding the Fourth Proportional to 19,921.50, 27,493.50 and 10,970.82

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Solution

The fourth proportional to 19,921.50, 27,493.50 and 10,970.82 is: 15,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.50 : 27,493.50 = 10,970.82 : x
  2. Step 2: Convert to fraction form
    19,921.50/27,493.50 = 10,970.82/x
  3. Step 3: Cross multiply
    19,921.50x = 27,493.50 × 10,970.82
  4. Step 4: Simplify right side
    19,921.50x = 301,626,239.67
  5. Step 5: Solve for x
    x = 301,626,239.67/19,921.50
  6. Step 6: Final answer
    x = 15,140.74

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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.