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Finding the Fourth Proportional to 21,313.80, 31,970.70 and 12,097.80

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Solution

The fourth proportional to 21,313.80, 31,970.70 and 12,097.80 is: 18,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.80 : 31,970.70 = 12,097.80 : x
  2. Step 2: Convert to fraction form
    21,313.80/31,970.70 = 12,097.80/x
  3. Step 3: Cross multiply
    21,313.80x = 31,970.70 × 12,097.80
  4. Step 4: Simplify right side
    21,313.80x = 386,775,134.46
  5. Step 5: Solve for x
    x = 386,775,134.46/21,313.80
  6. Step 6: Final answer
    x = 18,146.70

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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.