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Finding the Fourth Proportional to 19,803.48, 29,710.17 and 13,971.48

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Solution

The fourth proportional to 19,803.48, 29,710.17 and 13,971.48 is: 20,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.48 : 29,710.17 = 13,971.48 : x
  2. Step 2: Convert to fraction form
    19,803.48/29,710.17 = 13,971.48/x
  3. Step 3: Cross multiply
    19,803.48x = 29,710.17 × 13,971.48
  4. Step 4: Simplify right side
    19,803.48x = 415,095,045.95
  5. Step 5: Solve for x
    x = 415,095,045.95/19,803.48
  6. Step 6: Final answer
    x = 20,960.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.