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Finding the Fourth Proportional to 19,649.51, 29,474.90 and 7,805.48

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Solution

The fourth proportional to 19,649.51, 29,474.90 and 7,805.48 is: 11,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.51 : 29,474.90 = 7,805.48 : x
  2. Step 2: Convert to fraction form
    19,649.51/29,474.90 = 7,805.48/x
  3. Step 3: Cross multiply
    19,649.51x = 29,474.90 × 7,805.48
  4. Step 4: Simplify right side
    19,649.51x = 230,065,703.42
  5. Step 5: Solve for x
    x = 230,065,703.42/19,649.51
  6. Step 6: Final answer
    x = 11,708.47

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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.