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Finding the Fourth Proportional to 6,457.76, 9,688.02 and 2,078.29

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Solution

The fourth proportional to 6,457.76, 9,688.02 and 2,078.29 is: 3,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.76 : 9,688.02 = 2,078.29 : x
  2. Step 2: Convert to fraction form
    6,457.76/9,688.02 = 2,078.29/x
  3. Step 3: Cross multiply
    6,457.76x = 9,688.02 × 2,078.29
  4. Step 4: Simplify right side
    6,457.76x = 20,134,515.09
  5. Step 5: Solve for x
    x = 20,134,515.09/6,457.76
  6. Step 6: Final answer
    x = 3,117.88

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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.