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Finding the Fourth Proportional to 31,095, 42,912.95 and 17,666.82

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Solution

The fourth proportional to 31,095, 42,912.95 and 17,666.82 is: 24,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095 : 42,912.95 = 17,666.82 : x
  2. Step 2: Convert to fraction form
    31,095/42,912.95 = 17,666.82/x
  3. Step 3: Cross multiply
    31,095x = 42,912.95 × 17,666.82
  4. Step 4: Simplify right side
    31,095x = 758,135,274.98
  5. Step 5: Solve for x
    x = 758,135,274.98/31,095
  6. Step 6: Final answer
    x = 24,381.26

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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.