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Finding the Fourth Proportional to 7,809.09, 10,781 and 5,164.17

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Solution

The fourth proportional to 7,809.09, 10,781 and 5,164.17 is: 7,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.09 : 10,781 = 5,164.17 : x
  2. Step 2: Convert to fraction form
    7,809.09/10,781 = 5,164.17/x
  3. Step 3: Cross multiply
    7,809.09x = 10,781 × 5,164.17
  4. Step 4: Simplify right side
    7,809.09x = 55,674,916.77
  5. Step 5: Solve for x
    x = 55,674,916.77/7,809.09
  6. Step 6: Final answer
    x = 7,129.50

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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.