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Finding the Fourth Proportional to 31,407.48, 46,991.88 and 19,356.48

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Solution

The fourth proportional to 31,407.48, 46,991.88 and 19,356.48 is: 28,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.48 : 46,991.88 = 19,356.48 : x
  2. Step 2: Convert to fraction form
    31,407.48/46,991.88 = 19,356.48/x
  3. Step 3: Cross multiply
    31,407.48x = 46,991.88 × 19,356.48
  4. Step 4: Simplify right side
    31,407.48x = 909,597,385.38
  5. Step 5: Solve for x
    x = 909,597,385.38/31,407.48
  6. Step 6: Final answer
    x = 28,961.17

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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.