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Finding the Fourth Proportional to 6,461.60, 9,688 and 3,340.32

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Solution

The fourth proportional to 6,461.60, 9,688 and 3,340.32 is: 5,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.60 : 9,688 = 3,340.32 : x
  2. Step 2: Convert to fraction form
    6,461.60/9,688 = 3,340.32/x
  3. Step 3: Cross multiply
    6,461.60x = 9,688 × 3,340.32
  4. Step 4: Simplify right side
    6,461.60x = 32,361,020.16
  5. Step 5: Solve for x
    x = 32,361,020.16/6,461.60
  6. Step 6: Final answer
    x = 5,008.21

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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.