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Finding the Fourth Proportional to 9,980.01, 13,782.15 and 8,284.68

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Solution

The fourth proportional to 9,980.01, 13,782.15 and 8,284.68 is: 11,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.01 : 13,782.15 = 8,284.68 : x
  2. Step 2: Convert to fraction form
    9,980.01/13,782.15 = 8,284.68/x
  3. Step 3: Cross multiply
    9,980.01x = 13,782.15 × 8,284.68
  4. Step 4: Simplify right side
    9,980.01x = 114,180,702.46
  5. Step 5: Solve for x
    x = 114,180,702.46/9,980.01
  6. Step 6: Final answer
    x = 11,440.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.