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Finding the Fourth Proportional to 7,762.81, 11,643.03 and 2,832.45

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Solution

The fourth proportional to 7,762.81, 11,643.03 and 2,832.45 is: 4,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.81 : 11,643.03 = 2,832.45 : x
  2. Step 2: Convert to fraction form
    7,762.81/11,643.03 = 2,832.45/x
  3. Step 3: Cross multiply
    7,762.81x = 11,643.03 × 2,832.45
  4. Step 4: Simplify right side
    7,762.81x = 32,978,300.32
  5. Step 5: Solve for x
    x = 32,978,300.32/7,762.81
  6. Step 6: Final answer
    x = 4,248.24

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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.