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Finding the Fourth Proportional to 12,570.82, 17,347.26 and 6,905.40

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Solution

The fourth proportional to 12,570.82, 17,347.26 and 6,905.40 is: 9,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.82 : 17,347.26 = 6,905.40 : x
  2. Step 2: Convert to fraction form
    12,570.82/17,347.26 = 6,905.40/x
  3. Step 3: Cross multiply
    12,570.82x = 17,347.26 × 6,905.40
  4. Step 4: Simplify right side
    12,570.82x = 119,789,769.20
  5. Step 5: Solve for x
    x = 119,789,769.20/12,570.82
  6. Step 6: Final answer
    x = 9,529.19

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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.