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Finding the Fourth Proportional to 12,471.63, 17,210.28 and 6,806.13

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Solution

The fourth proportional to 12,471.63, 17,210.28 and 6,806.13 is: 9,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.63 : 17,210.28 = 6,806.13 : x
  2. Step 2: Convert to fraction form
    12,471.63/17,210.28 = 6,806.13/x
  3. Step 3: Cross multiply
    12,471.63x = 17,210.28 × 6,806.13
  4. Step 4: Simplify right side
    12,471.63x = 117,135,403.02
  5. Step 5: Solve for x
    x = 117,135,403.02/12,471.63
  6. Step 6: Final answer
    x = 9,392.15

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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.