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Finding the Fourth Proportional to 7,810.12, 11,724.54 and 6,574.60

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Solution

The fourth proportional to 7,810.12, 11,724.54 and 6,574.60 is: 9,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.12 : 11,724.54 = 6,574.60 : x
  2. Step 2: Convert to fraction form
    7,810.12/11,724.54 = 6,574.60/x
  3. Step 3: Cross multiply
    7,810.12x = 11,724.54 × 6,574.60
  4. Step 4: Simplify right side
    7,810.12x = 77,084,160.68
  5. Step 5: Solve for x
    x = 77,084,160.68/7,810.12
  6. Step 6: Final answer
    x = 9,869.78

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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.