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Finding the Fourth Proportional to 30,903, 42,646.14 and 16,755.84

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Solution

The fourth proportional to 30,903, 42,646.14 and 16,755.84 is: 23,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903 : 42,646.14 = 16,755.84 : x
  2. Step 2: Convert to fraction form
    30,903/42,646.14 = 16,755.84/x
  3. Step 3: Cross multiply
    30,903x = 42,646.14 × 16,755.84
  4. Step 4: Simplify right side
    30,903x = 714,571,898.46
  5. Step 5: Solve for x
    x = 714,571,898.46/30,903
  6. Step 6: Final answer
    x = 23,123.06

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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.