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Finding the Fourth Proportional to 9,984.85, 13,779.21 and 5,508.77

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Solution

The fourth proportional to 9,984.85, 13,779.21 and 5,508.77 is: 7,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.85 : 13,779.21 = 5,508.77 : x
  2. Step 2: Convert to fraction form
    9,984.85/13,779.21 = 5,508.77/x
  3. Step 3: Cross multiply
    9,984.85x = 13,779.21 × 5,508.77
  4. Step 4: Simplify right side
    9,984.85x = 75,906,489.19
  5. Step 5: Solve for x
    x = 75,906,489.19/9,984.85
  6. Step 6: Final answer
    x = 7,602.16

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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.