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Finding the Fourth Proportional to 31,216, 46,774.08 and 18,728.32

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Solution

The fourth proportional to 31,216, 46,774.08 and 18,728.32 is: 28,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216 : 46,774.08 = 18,728.32 : x
  2. Step 2: Convert to fraction form
    31,216/46,774.08 = 18,728.32/x
  3. Step 3: Cross multiply
    31,216x = 46,774.08 × 18,728.32
  4. Step 4: Simplify right side
    31,216x = 875,999,937.95
  5. Step 5: Solve for x
    x = 875,999,937.95/31,216
  6. Step 6: Final answer
    x = 28,062.53

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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.