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Finding the Fourth Proportional to 12,650, 17,457.01 and 7,061

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Solution

The fourth proportional to 12,650, 17,457.01 and 7,061 is: 9,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650 : 17,457.01 = 7,061 : x
  2. Step 2: Convert to fraction form
    12,650/17,457.01 = 7,061/x
  3. Step 3: Cross multiply
    12,650x = 17,457.01 × 7,061
  4. Step 4: Simplify right side
    12,650x = 123,263,947.61
  5. Step 5: Solve for x
    x = 123,263,947.61/12,650
  6. Step 6: Final answer
    x = 9,744.19

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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.