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Finding the Fourth Proportional to 9,888.75, 13,651.11 and 6,354

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Solution

The fourth proportional to 9,888.75, 13,651.11 and 6,354 is: 8,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.75 : 13,651.11 = 6,354 : x
  2. Step 2: Convert to fraction form
    9,888.75/13,651.11 = 6,354/x
  3. Step 3: Cross multiply
    9,888.75x = 13,651.11 × 6,354
  4. Step 4: Simplify right side
    9,888.75x = 86,739,152.94
  5. Step 5: Solve for x
    x = 86,739,152.94/9,888.75
  6. Step 6: Final answer
    x = 8,771.50

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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.