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Finding the Fourth Proportional to 31,403, 46,995.89 and 19,390.22

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Solution

The fourth proportional to 31,403, 46,995.89 and 19,390.22 is: 29,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403 : 46,995.89 = 19,390.22 : x
  2. Step 2: Convert to fraction form
    31,403/46,995.89 = 19,390.22/x
  3. Step 3: Cross multiply
    31,403x = 46,995.89 × 19,390.22
  4. Step 4: Simplify right side
    31,403x = 911,260,549.24
  5. Step 5: Solve for x
    x = 911,260,549.24/31,403
  6. Step 6: Final answer
    x = 29,018.26

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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.