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Finding the Fourth Proportional to 9,579.60, 14,284.80 and 8,414.37

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Solution

The fourth proportional to 9,579.60, 14,284.80 and 8,414.37 is: 12,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.60 : 14,284.80 = 8,414.37 : x
  2. Step 2: Convert to fraction form
    9,579.60/14,284.80 = 8,414.37/x
  3. Step 3: Cross multiply
    9,579.60x = 14,284.80 × 8,414.37
  4. Step 4: Simplify right side
    9,579.60x = 120,197,592.58
  5. Step 5: Solve for x
    x = 120,197,592.58/9,579.60
  6. Step 6: Final answer
    x = 12,547.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.