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Finding the Fourth Proportional to 31,095.63, 42,911.64 and 16,948.17

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Solution

The fourth proportional to 31,095.63, 42,911.64 and 16,948.17 is: 23,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.63 : 42,911.64 = 16,948.17 : x
  2. Step 2: Convert to fraction form
    31,095.63/42,911.64 = 16,948.17/x
  3. Step 3: Cross multiply
    31,095.63x = 42,911.64 × 16,948.17
  4. Step 4: Simplify right side
    31,095.63x = 727,273,769.70
  5. Step 5: Solve for x
    x = 727,273,769.70/31,095.63
  6. Step 6: Final answer
    x = 23,388.30

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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.