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Finding the Fourth Proportional to 30,894.32, 46,304.40 and 14,231.48

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Solution

The fourth proportional to 30,894.32, 46,304.40 and 14,231.48 is: 21,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.32 : 46,304.40 = 14,231.48 : x
  2. Step 2: Convert to fraction form
    30,894.32/46,304.40 = 14,231.48/x
  3. Step 3: Cross multiply
    30,894.32x = 46,304.40 × 14,231.48
  4. Step 4: Simplify right side
    30,894.32x = 658,980,142.51
  5. Step 5: Solve for x
    x = 658,980,142.51/30,894.32
  6. Step 6: Final answer
    x = 21,330.14

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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.