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Finding the Fourth Proportional to 31,314, 43,216.42 and 17,887.26

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Solution

The fourth proportional to 31,314, 43,216.42 and 17,887.26 is: 24,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314 : 43,216.42 = 17,887.26 : x
  2. Step 2: Convert to fraction form
    31,314/43,216.42 = 17,887.26/x
  3. Step 3: Cross multiply
    31,314x = 43,216.42 × 17,887.26
  4. Step 4: Simplify right side
    31,314x = 773,023,340.81
  5. Step 5: Solve for x
    x = 773,023,340.81/31,314
  6. Step 6: Final answer
    x = 24,686.19

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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.