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Finding the Fourth Proportional to 9,178.98, 13,801.68 and 8,457.28

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Solution

The fourth proportional to 9,178.98, 13,801.68 and 8,457.28 is: 12,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.98 : 13,801.68 = 8,457.28 : x
  2. Step 2: Convert to fraction form
    9,178.98/13,801.68 = 8,457.28/x
  3. Step 3: Cross multiply
    9,178.98x = 13,801.68 × 8,457.28
  4. Step 4: Simplify right side
    9,178.98x = 116,724,672.23
  5. Step 5: Solve for x
    x = 116,724,672.23/9,178.98
  6. Step 6: Final answer
    x = 12,716.52

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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.