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Finding the Fourth Proportional to 21,160.80, 31,730.94 and 6,366.96

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Solution

The fourth proportional to 21,160.80, 31,730.94 and 6,366.96 is: 9,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.80 : 31,730.94 = 6,366.96 : x
  2. Step 2: Convert to fraction form
    21,160.80/31,730.94 = 6,366.96/x
  3. Step 3: Cross multiply
    21,160.80x = 31,730.94 × 6,366.96
  4. Step 4: Simplify right side
    21,160.80x = 202,029,625.74
  5. Step 5: Solve for x
    x = 202,029,625.74/21,160.80
  6. Step 6: Final answer
    x = 9,547.35

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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.