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Finding the Fourth Proportional to 22,900, 31,602 and 12,964

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Solution

The fourth proportional to 22,900, 31,602 and 12,964 is: 17,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900 : 31,602 = 12,964 : x
  2. Step 2: Convert to fraction form
    22,900/31,602 = 12,964/x
  3. Step 3: Cross multiply
    22,900x = 31,602 × 12,964
  4. Step 4: Simplify right side
    22,900x = 409,688,328
  5. Step 5: Solve for x
    x = 409,688,328/22,900
  6. Step 6: Final answer
    x = 17,890.32

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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.