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Finding the Fourth Proportional to 8,642.68, 12,943.86 and 6,688.60

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Solution

The fourth proportional to 8,642.68, 12,943.86 and 6,688.60 is: 10,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.68 : 12,943.86 = 6,688.60 : x
  2. Step 2: Convert to fraction form
    8,642.68/12,943.86 = 6,688.60/x
  3. Step 3: Cross multiply
    8,642.68x = 12,943.86 × 6,688.60
  4. Step 4: Simplify right side
    8,642.68x = 86,576,302.00
  5. Step 5: Solve for x
    x = 86,576,302.00/8,642.68
  6. Step 6: Final answer
    x = 10,017.30

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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.