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Finding the Fourth Proportional to 30,784.92, 42,482.70 and 17,356.20

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Solution

The fourth proportional to 30,784.92, 42,482.70 and 17,356.20 is: 23,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.92 : 42,482.70 = 17,356.20 : x
  2. Step 2: Convert to fraction form
    30,784.92/42,482.70 = 17,356.20/x
  3. Step 3: Cross multiply
    30,784.92x = 42,482.70 × 17,356.20
  4. Step 4: Simplify right side
    30,784.92x = 737,338,237.74
  5. Step 5: Solve for x
    x = 737,338,237.74/30,784.92
  6. Step 6: Final answer
    x = 23,951.28

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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.