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Finding the Fourth Proportional to 31,686.99, 47,514.07 and 16,891.93

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Solution

The fourth proportional to 31,686.99, 47,514.07 and 16,891.93 is: 25,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.99 : 47,514.07 = 16,891.93 : x
  2. Step 2: Convert to fraction form
    31,686.99/47,514.07 = 16,891.93/x
  3. Step 3: Cross multiply
    31,686.99x = 47,514.07 × 16,891.93
  4. Step 4: Simplify right side
    31,686.99x = 802,604,344.46
  5. Step 5: Solve for x
    x = 802,604,344.46/31,686.99
  6. Step 6: Final answer
    x = 25,329.14

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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.