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Finding the Fourth Proportional to 15,806.16, 21,813.13 and 9,091.78

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Solution

The fourth proportional to 15,806.16, 21,813.13 and 9,091.78 is: 12,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.16 : 21,813.13 = 9,091.78 : x
  2. Step 2: Convert to fraction form
    15,806.16/21,813.13 = 9,091.78/x
  3. Step 3: Cross multiply
    15,806.16x = 21,813.13 × 9,091.78
  4. Step 4: Simplify right side
    15,806.16x = 198,320,179.07
  5. Step 5: Solve for x
    x = 198,320,179.07/15,806.16
  6. Step 6: Final answer
    x = 12,547.02

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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.