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Finding the Fourth Proportional to 30,941.46, 42,708.92 and 19,763.46

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Solution

The fourth proportional to 30,941.46, 42,708.92 and 19,763.46 is: 27,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.46 : 42,708.92 = 19,763.46 : x
  2. Step 2: Convert to fraction form
    30,941.46/42,708.92 = 19,763.46/x
  3. Step 3: Cross multiply
    30,941.46x = 42,708.92 × 19,763.46
  4. Step 4: Simplify right side
    30,941.46x = 844,075,933.25
  5. Step 5: Solve for x
    x = 844,075,933.25/30,941.46
  6. Step 6: Final answer
    x = 27,279.77

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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.