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Finding the Fourth Proportional to 30,644.70, 42,282.09 and 18,703.68

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Solution

The fourth proportional to 30,644.70, 42,282.09 and 18,703.68 is: 25,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.70 : 42,282.09 = 18,703.68 : x
  2. Step 2: Convert to fraction form
    30,644.70/42,282.09 = 18,703.68/x
  3. Step 3: Cross multiply
    30,644.70x = 42,282.09 × 18,703.68
  4. Step 4: Simplify right side
    30,644.70x = 790,830,681.09
  5. Step 5: Solve for x
    x = 790,830,681.09/30,644.70
  6. Step 6: Final answer
    x = 25,806.44

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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.