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Finding the Fourth Proportional to 30,821.80, 46,254.30 and 13,304.20

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Solution

The fourth proportional to 30,821.80, 46,254.30 and 13,304.20 is: 19,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.80 : 46,254.30 = 13,304.20 : x
  2. Step 2: Convert to fraction form
    30,821.80/46,254.30 = 13,304.20/x
  3. Step 3: Cross multiply
    30,821.80x = 46,254.30 × 13,304.20
  4. Step 4: Simplify right side
    30,821.80x = 615,376,458.06
  5. Step 5: Solve for x
    x = 615,376,458.06/30,821.80
  6. Step 6: Final answer
    x = 19,965.62

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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.