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Finding the Fourth Proportional to 9,657.66, 14,486.58 and 5,278.80

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Solution

The fourth proportional to 9,657.66, 14,486.58 and 5,278.80 is: 7,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.66 : 14,486.58 = 5,278.80 : x
  2. Step 2: Convert to fraction form
    9,657.66/14,486.58 = 5,278.80/x
  3. Step 3: Cross multiply
    9,657.66x = 14,486.58 × 5,278.80
  4. Step 4: Simplify right side
    9,657.66x = 76,471,758.50
  5. Step 5: Solve for x
    x = 76,471,758.50/9,657.66
  6. Step 6: Final answer
    x = 7,918.25

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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.