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Finding the Fourth Proportional to 30,934.64, 42,704.88 and 19,000.64

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Solution

The fourth proportional to 30,934.64, 42,704.88 and 19,000.64 is: 26,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.64 : 42,704.88 = 19,000.64 : x
  2. Step 2: Convert to fraction form
    30,934.64/42,704.88 = 19,000.64/x
  3. Step 3: Cross multiply
    30,934.64x = 42,704.88 × 19,000.64
  4. Step 4: Simplify right side
    30,934.64x = 811,420,051.12
  5. Step 5: Solve for x
    x = 811,420,051.12/30,934.64
  6. Step 6: Final answer
    x = 26,230.14

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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.