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Finding the Fourth Proportional to 9,788.61, 13,508.94 and 5,539.67

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Solution

The fourth proportional to 9,788.61, 13,508.94 and 5,539.67 is: 7,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.61 : 13,508.94 = 5,539.67 : x
  2. Step 2: Convert to fraction form
    9,788.61/13,508.94 = 5,539.67/x
  3. Step 3: Cross multiply
    9,788.61x = 13,508.94 × 5,539.67
  4. Step 4: Simplify right side
    9,788.61x = 74,835,069.65
  5. Step 5: Solve for x
    x = 74,835,069.65/9,788.61
  6. Step 6: Final answer
    x = 7,645.12

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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.