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Finding the Fourth Proportional to 6,507.45, 9,762.30 and 2,124.12

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Solution

The fourth proportional to 6,507.45, 9,762.30 and 2,124.12 is: 3,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.45 : 9,762.30 = 2,124.12 : x
  2. Step 2: Convert to fraction form
    6,507.45/9,762.30 = 2,124.12/x
  3. Step 3: Cross multiply
    6,507.45x = 9,762.30 × 2,124.12
  4. Step 4: Simplify right side
    6,507.45x = 20,736,296.68
  5. Step 5: Solve for x
    x = 20,736,296.68/6,507.45
  6. Step 6: Final answer
    x = 3,186.55

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