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Finding the Fourth Proportional to 6,272.64, 9,405.72 and 2,808

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Solution

The fourth proportional to 6,272.64, 9,405.72 and 2,808 is: 4,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.64 : 9,405.72 = 2,808 : x
  2. Step 2: Convert to fraction form
    6,272.64/9,405.72 = 2,808/x
  3. Step 3: Cross multiply
    6,272.64x = 9,405.72 × 2,808
  4. Step 4: Simplify right side
    6,272.64x = 26,411,261.76
  5. Step 5: Solve for x
    x = 26,411,261.76/6,272.64
  6. Step 6: Final answer
    x = 4,210.55

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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.