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Finding the Fourth Proportional to 30,643.70, 42,283.71 and 17,212.39

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Solution

The fourth proportional to 30,643.70, 42,283.71 and 17,212.39 is: 23,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.70 : 42,283.71 = 17,212.39 : x
  2. Step 2: Convert to fraction form
    30,643.70/42,283.71 = 17,212.39/x
  3. Step 3: Cross multiply
    30,643.70x = 42,283.71 × 17,212.39
  4. Step 4: Simplify right side
    30,643.70x = 727,803,601.46
  5. Step 5: Solve for x
    x = 727,803,601.46/30,643.70
  6. Step 6: Final answer
    x = 23,750.51

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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.