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Finding the Fourth Proportional to 7,864.50, 10,852.74 and 4,327.50

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Solution

The fourth proportional to 7,864.50, 10,852.74 and 4,327.50 is: 5,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.50 : 10,852.74 = 4,327.50 : x
  2. Step 2: Convert to fraction form
    7,864.50/10,852.74 = 4,327.50/x
  3. Step 3: Cross multiply
    7,864.50x = 10,852.74 × 4,327.50
  4. Step 4: Simplify right side
    7,864.50x = 46,965,232.35
  5. Step 5: Solve for x
    x = 46,965,232.35/7,864.50
  6. Step 6: Final answer
    x = 5,971.80

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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.