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Finding the Fourth Proportional to 31,255.80, 46,810.80 and 21,341.40

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Solution

The fourth proportional to 31,255.80, 46,810.80 and 21,341.40 is: 31,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255.80 : 46,810.80 = 21,341.40 : x
  2. Step 2: Convert to fraction form
    31,255.80/46,810.80 = 21,341.40/x
  3. Step 3: Cross multiply
    31,255.80x = 46,810.80 × 21,341.40
  4. Step 4: Simplify right side
    31,255.80x = 999,008,007.12
  5. Step 5: Solve for x
    x = 999,008,007.12/31,255.80
  6. Step 6: Final answer
    x = 31,962.32

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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.