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Finding the Fourth Proportional to 9,782.80, 13,506.12 and 6,431.22

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Solution

The fourth proportional to 9,782.80, 13,506.12 and 6,431.22 is: 8,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.80 : 13,506.12 = 6,431.22 : x
  2. Step 2: Convert to fraction form
    9,782.80/13,506.12 = 6,431.22/x
  3. Step 3: Cross multiply
    9,782.80x = 13,506.12 × 6,431.22
  4. Step 4: Simplify right side
    9,782.80x = 86,860,829.07
  5. Step 5: Solve for x
    x = 86,860,829.07/9,782.80
  6. Step 6: Final answer
    x = 8,878.94

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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.