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Finding the Fourth Proportional to 8,457.84, 12,688.68 and 4,562.16

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Solution

The fourth proportional to 8,457.84, 12,688.68 and 4,562.16 is: 6,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.84 : 12,688.68 = 4,562.16 : x
  2. Step 2: Convert to fraction form
    8,457.84/12,688.68 = 4,562.16/x
  3. Step 3: Cross multiply
    8,457.84x = 12,688.68 × 4,562.16
  4. Step 4: Simplify right side
    8,457.84x = 57,887,788.35
  5. Step 5: Solve for x
    x = 57,887,788.35/8,457.84
  6. Step 6: Final answer
    x = 6,844.28

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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.