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Finding the Fourth Proportional to 21,145.70, 31,730.70 and 7,999.40

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Solution

The fourth proportional to 21,145.70, 31,730.70 and 7,999.40 is: 12,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.70 : 31,730.70 = 7,999.40 : x
  2. Step 2: Convert to fraction form
    21,145.70/31,730.70 = 7,999.40/x
  3. Step 3: Cross multiply
    21,145.70x = 31,730.70 × 7,999.40
  4. Step 4: Simplify right side
    21,145.70x = 253,826,561.58
  5. Step 5: Solve for x
    x = 253,826,561.58/21,145.70
  6. Step 6: Final answer
    x = 12,003.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.