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Finding the Fourth Proportional to 31,433.96, 43,412.90 and 19,525.80

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Solution

The fourth proportional to 31,433.96, 43,412.90 and 19,525.80 is: 26,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433.96 : 43,412.90 = 19,525.80 : x
  2. Step 2: Convert to fraction form
    31,433.96/43,412.90 = 19,525.80/x
  3. Step 3: Cross multiply
    31,433.96x = 43,412.90 × 19,525.80
  4. Step 4: Simplify right side
    31,433.96x = 847,671,602.82
  5. Step 5: Solve for x
    x = 847,671,602.82/31,433.96
  6. Step 6: Final answer
    x = 26,966.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.