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Finding the Fourth Proportional to 30,784.81, 42,483.53 and 17,356.73

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Solution

The fourth proportional to 30,784.81, 42,483.53 and 17,356.73 is: 23,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.81 : 42,483.53 = 17,356.73 : x
  2. Step 2: Convert to fraction form
    30,784.81/42,483.53 = 17,356.73/x
  3. Step 3: Cross multiply
    30,784.81x = 42,483.53 × 17,356.73
  4. Step 4: Simplify right side
    30,784.81x = 737,375,309.26
  5. Step 5: Solve for x
    x = 737,375,309.26/30,784.81
  6. Step 6: Final answer
    x = 23,952.57

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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.