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Finding the Fourth Proportional to 19,974, 29,809.12 and 17,759.74

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Solution

The fourth proportional to 19,974, 29,809.12 and 17,759.74 is: 26,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 29,809.12 = 17,759.74 : x
  2. Step 2: Convert to fraction form
    19,974/29,809.12 = 17,759.74/x
  3. Step 3: Cross multiply
    19,974x = 29,809.12 × 17,759.74
  4. Step 4: Simplify right side
    19,974x = 529,402,220.83
  5. Step 5: Solve for x
    x = 529,402,220.83/19,974
  6. Step 6: Final answer
    x = 26,504.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.