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Finding the Fourth Proportional to 9,819, 13,503.78 and 7,805.88

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Solution

The fourth proportional to 9,819, 13,503.78 and 7,805.88 is: 10,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 13,503.78 = 7,805.88 : x
  2. Step 2: Convert to fraction form
    9,819/13,503.78 = 7,805.88/x
  3. Step 3: Cross multiply
    9,819x = 13,503.78 × 7,805.88
  4. Step 4: Simplify right side
    9,819x = 105,408,886.23
  5. Step 5: Solve for x
    x = 105,408,886.23/9,819
  6. Step 6: Final answer
    x = 10,735.20

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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.