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Finding the Fourth Proportional to 31,214.32, 46,821.48 and 7,840.76

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Solution

The fourth proportional to 31,214.32, 46,821.48 and 7,840.76 is: 11,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.32 : 46,821.48 = 7,840.76 : x
  2. Step 2: Convert to fraction form
    31,214.32/46,821.48 = 7,840.76/x
  3. Step 3: Cross multiply
    31,214.32x = 46,821.48 × 7,840.76
  4. Step 4: Simplify right side
    31,214.32x = 367,115,987.52
  5. Step 5: Solve for x
    x = 367,115,987.52/31,214.32
  6. Step 6: Final answer
    x = 11,761.14

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1.5x scale

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.