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Finding the Fourth Proportional to 20,955.80, 31,434.42 and 6,916.16

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Solution

The fourth proportional to 20,955.80, 31,434.42 and 6,916.16 is: 10,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,955.80 : 31,434.42 = 6,916.16 : x
  2. Step 2: Convert to fraction form
    20,955.80/31,434.42 = 6,916.16/x
  3. Step 3: Cross multiply
    20,955.80x = 31,434.42 × 6,916.16
  4. Step 4: Simplify right side
    20,955.80x = 217,405,478.23
  5. Step 5: Solve for x
    x = 217,405,478.23/20,955.80
  6. Step 6: Final answer
    x = 10,374.48

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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.