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Finding the Fourth Proportional to 31,509, 43,482.96 and 20,350.44

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Solution

The fourth proportional to 31,509, 43,482.96 and 20,350.44 is: 28,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509 : 43,482.96 = 20,350.44 : x
  2. Step 2: Convert to fraction form
    31,509/43,482.96 = 20,350.44/x
  3. Step 3: Cross multiply
    31,509x = 43,482.96 × 20,350.44
  4. Step 4: Simplify right side
    31,509x = 884,897,368.50
  5. Step 5: Solve for x
    x = 884,897,368.50/31,509
  6. Step 6: Final answer
    x = 28,083.96

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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.