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Finding the Fourth Proportional to 31,313.66, 46,985.66 and 13,781.21

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Solution

The fourth proportional to 31,313.66, 46,985.66 and 13,781.21 is: 20,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313.66 : 46,985.66 = 13,781.21 : x
  2. Step 2: Convert to fraction form
    31,313.66/46,985.66 = 13,781.21/x
  3. Step 3: Cross multiply
    31,313.66x = 46,985.66 × 13,781.21
  4. Step 4: Simplify right side
    31,313.66x = 647,519,247.45
  5. Step 5: Solve for x
    x = 647,519,247.45/31,313.66
  6. Step 6: Final answer
    x = 20,678.49

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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.