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Finding the Fourth Proportional to 30,838.32, 46,257.48 and 8,654.04

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Solution

The fourth proportional to 30,838.32, 46,257.48 and 8,654.04 is: 12,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.32 : 46,257.48 = 8,654.04 : x
  2. Step 2: Convert to fraction form
    30,838.32/46,257.48 = 8,654.04/x
  3. Step 3: Cross multiply
    30,838.32x = 46,257.48 × 8,654.04
  4. Step 4: Simplify right side
    30,838.32x = 400,314,082.22
  5. Step 5: Solve for x
    x = 400,314,082.22/30,838.32
  6. Step 6: Final answer
    x = 12,981.06

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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.