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Finding the Fourth Proportional to 30,775.66, 42,472.73 and 17,348.17

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Solution

The fourth proportional to 30,775.66, 42,472.73 and 17,348.17 is: 23,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.66 : 42,472.73 = 17,348.17 : x
  2. Step 2: Convert to fraction form
    30,775.66/42,472.73 = 17,348.17/x
  3. Step 3: Cross multiply
    30,775.66x = 42,472.73 × 17,348.17
  4. Step 4: Simplify right side
    30,775.66x = 736,824,140.40
  5. Step 5: Solve for x
    x = 736,824,140.40/30,775.66
  6. Step 6: Final answer
    x = 23,941.78

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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.