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Finding the Fourth Proportional to 9,993.98, 13,788.40 and 6,459.28

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Solution

The fourth proportional to 9,993.98, 13,788.40 and 6,459.28 is: 8,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.98 : 13,788.40 = 6,459.28 : x
  2. Step 2: Convert to fraction form
    9,993.98/13,788.40 = 6,459.28/x
  3. Step 3: Cross multiply
    9,993.98x = 13,788.40 × 6,459.28
  4. Step 4: Simplify right side
    9,993.98x = 89,063,136.35
  5. Step 5: Solve for x
    x = 89,063,136.35/9,993.98
  6. Step 6: Final answer
    x = 8,911.68

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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.