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Finding the Fourth Proportional to 22,970.70, 31,697.10 and 12,900.24

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Solution

The fourth proportional to 22,970.70, 31,697.10 and 12,900.24 is: 17,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.70 : 31,697.10 = 12,900.24 : x
  2. Step 2: Convert to fraction form
    22,970.70/31,697.10 = 12,900.24/x
  3. Step 3: Cross multiply
    22,970.70x = 31,697.10 × 12,900.24
  4. Step 4: Simplify right side
    22,970.70x = 408,900,197.30
  5. Step 5: Solve for x
    x = 408,900,197.30/22,970.70
  6. Step 6: Final answer
    x = 17,800.95

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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.