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Finding the Fourth Proportional to 31,572, 43,569.90 and 20,413.44

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Solution

The fourth proportional to 31,572, 43,569.90 and 20,413.44 is: 28,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572 : 43,569.90 = 20,413.44 : x
  2. Step 2: Convert to fraction form
    31,572/43,569.90 = 20,413.44/x
  3. Step 3: Cross multiply
    31,572x = 43,569.90 × 20,413.44
  4. Step 4: Simplify right side
    31,572x = 889,411,539.46
  5. Step 5: Solve for x
    x = 889,411,539.46/31,572
  6. Step 6: Final answer
    x = 28,170.90

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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.