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Finding the Fourth Proportional to 6,805.09, 10,206.08 and 1,875.16

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Solution

The fourth proportional to 6,805.09, 10,206.08 and 1,875.16 is: 2,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.09 : 10,206.08 = 1,875.16 : x
  2. Step 2: Convert to fraction form
    6,805.09/10,206.08 = 1,875.16/x
  3. Step 3: Cross multiply
    6,805.09x = 10,206.08 × 1,875.16
  4. Step 4: Simplify right side
    6,805.09x = 19,138,032.97
  5. Step 5: Solve for x
    x = 19,138,032.97/6,805.09
  6. Step 6: Final answer
    x = 2,812.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.