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Finding the Fourth Proportional to 31,888.68, 44,013.96 and 19,311

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Solution

The fourth proportional to 31,888.68, 44,013.96 and 19,311 is: 26,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.68 : 44,013.96 = 19,311 : x
  2. Step 2: Convert to fraction form
    31,888.68/44,013.96 = 19,311/x
  3. Step 3: Cross multiply
    31,888.68x = 44,013.96 × 19,311
  4. Step 4: Simplify right side
    31,888.68x = 849,953,581.56
  5. Step 5: Solve for x
    x = 849,953,581.56/31,888.68
  6. Step 6: Final answer
    x = 26,653.77

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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.