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Finding the Fourth Proportional to 6,682.24, 9,968.96 and 6,510.40

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Solution

The fourth proportional to 6,682.24, 9,968.96 and 6,510.40 is: 9,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.24 : 9,968.96 = 6,510.40 : x
  2. Step 2: Convert to fraction form
    6,682.24/9,968.96 = 6,510.40/x
  3. Step 3: Cross multiply
    6,682.24x = 9,968.96 × 6,510.40
  4. Step 4: Simplify right side
    6,682.24x = 64,901,917.18
  5. Step 5: Solve for x
    x = 64,901,917.18/6,682.24
  6. Step 6: Final answer
    x = 9,712.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.