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Finding the Fourth Proportional to 31,070.16, 42,876 and 16,922.16

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Solution

The fourth proportional to 31,070.16, 42,876 and 16,922.16 is: 23,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.16 : 42,876 = 16,922.16 : x
  2. Step 2: Convert to fraction form
    31,070.16/42,876 = 16,922.16/x
  3. Step 3: Cross multiply
    31,070.16x = 42,876 × 16,922.16
  4. Step 4: Simplify right side
    31,070.16x = 725,554,532.16
  5. Step 5: Solve for x
    x = 725,554,532.16/31,070.16
  6. Step 6: Final answer
    x = 23,352.13

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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.