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Finding the Fourth Proportional to 30,880, 42,624.84 and 19,247.32

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Solution

The fourth proportional to 30,880, 42,624.84 and 19,247.32 is: 26,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880 : 42,624.84 = 19,247.32 : x
  2. Step 2: Convert to fraction form
    30,880/42,624.84 = 19,247.32/x
  3. Step 3: Cross multiply
    30,880x = 42,624.84 × 19,247.32
  4. Step 4: Simplify right side
    30,880x = 820,413,935.43
  5. Step 5: Solve for x
    x = 820,413,935.43/30,880
  6. Step 6: Final answer
    x = 26,567.81

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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.