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Finding the Fourth Proportional to 31,253, 46,886.04 and 12,785

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Solution

The fourth proportional to 31,253, 46,886.04 and 12,785 is: 19,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,253 : 46,886.04 = 12,785 : x
  2. Step 2: Convert to fraction form
    31,253/46,886.04 = 12,785/x
  3. Step 3: Cross multiply
    31,253x = 46,886.04 × 12,785
  4. Step 4: Simplify right side
    31,253x = 599,438,021.40
  5. Step 5: Solve for x
    x = 599,438,021.40/31,253
  6. Step 6: Final answer
    x = 19,180.18

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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.