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Finding the Fourth Proportional to 22,969.98, 31,698.30 and 12,898.16

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Solution

The fourth proportional to 22,969.98, 31,698.30 and 12,898.16 is: 17,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.98 : 31,698.30 = 12,898.16 : x
  2. Step 2: Convert to fraction form
    22,969.98/31,698.30 = 12,898.16/x
  3. Step 3: Cross multiply
    22,969.98x = 31,698.30 × 12,898.16
  4. Step 4: Simplify right side
    22,969.98x = 408,849,745.13
  5. Step 5: Solve for x
    x = 408,849,745.13/22,969.98
  6. Step 6: Final answer
    x = 17,799.31

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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.