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Finding the Fourth Proportional to 31,230.60, 46,870.14 and 21,809.40

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Solution

The fourth proportional to 31,230.60, 46,870.14 and 21,809.40 is: 32,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.60 : 46,870.14 = 21,809.40 : x
  2. Step 2: Convert to fraction form
    31,230.60/46,870.14 = 21,809.40/x
  3. Step 3: Cross multiply
    31,230.60x = 46,870.14 × 21,809.40
  4. Step 4: Simplify right side
    31,230.60x = 1,022,209,631.32
  5. Step 5: Solve for x
    x = 1,022,209,631.32/31,230.60
  6. Step 6: Final answer
    x = 32,731.03

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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.