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Finding the Fourth Proportional to 9,984.88, 13,782.36 and 6,445.36

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Solution

The fourth proportional to 9,984.88, 13,782.36 and 6,445.36 is: 8,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.88 : 13,782.36 = 6,445.36 : x
  2. Step 2: Convert to fraction form
    9,984.88/13,782.36 = 6,445.36/x
  3. Step 3: Cross multiply
    9,984.88x = 13,782.36 × 6,445.36
  4. Step 4: Simplify right side
    9,984.88x = 88,832,271.85
  5. Step 5: Solve for x
    x = 88,832,271.85/9,984.88
  6. Step 6: Final answer
    x = 8,896.68

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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.