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Finding the Fourth Proportional to 9,314.80, 13,988.40 and 6,560.80

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Solution

The fourth proportional to 9,314.80, 13,988.40 and 6,560.80 is: 9,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.80 : 13,988.40 = 6,560.80 : x
  2. Step 2: Convert to fraction form
    9,314.80/13,988.40 = 6,560.80/x
  3. Step 3: Cross multiply
    9,314.80x = 13,988.40 × 6,560.80
  4. Step 4: Simplify right side
    9,314.80x = 91,775,094.72
  5. Step 5: Solve for x
    x = 91,775,094.72/9,314.80
  6. Step 6: Final answer
    x = 9,852.61

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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.