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Finding the Fourth Proportional to 23,930, 35,657.14 and 21,312.80

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Solution

The fourth proportional to 23,930, 35,657.14 and 21,312.80 is: 31,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930 : 35,657.14 = 21,312.80 : x
  2. Step 2: Convert to fraction form
    23,930/35,657.14 = 21,312.80/x
  3. Step 3: Cross multiply
    23,930x = 35,657.14 × 21,312.80
  4. Step 4: Simplify right side
    23,930x = 759,953,493.39
  5. Step 5: Solve for x
    x = 759,953,493.39/23,930
  6. Step 6: Final answer
    x = 31,757.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.