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Finding the Fourth Proportional to 30,878, 42,622.08 and 19,245.32

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Solution

The fourth proportional to 30,878, 42,622.08 and 19,245.32 is: 26,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878 : 42,622.08 = 19,245.32 : x
  2. Step 2: Convert to fraction form
    30,878/42,622.08 = 19,245.32/x
  3. Step 3: Cross multiply
    30,878x = 42,622.08 × 19,245.32
  4. Step 4: Simplify right side
    30,878x = 820,275,568.67
  5. Step 5: Solve for x
    x = 820,275,568.67/30,878
  6. Step 6: Final answer
    x = 26,565.05

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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.