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Finding the Fourth Proportional to 6,457.80, 8,913.78 and 4,099.80

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Solution

The fourth proportional to 6,457.80, 8,913.78 and 4,099.80 is: 5,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.80 : 8,913.78 = 4,099.80 : x
  2. Step 2: Convert to fraction form
    6,457.80/8,913.78 = 4,099.80/x
  3. Step 3: Cross multiply
    6,457.80x = 8,913.78 × 4,099.80
  4. Step 4: Simplify right side
    6,457.80x = 36,544,715.24
  5. Step 5: Solve for x
    x = 36,544,715.24/6,457.80
  6. Step 6: Final answer
    x = 5,659.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.