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Finding the Fourth Proportional to 9,705.78, 13,394.46 and 5,928.34

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Solution

The fourth proportional to 9,705.78, 13,394.46 and 5,928.34 is: 8,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.78 : 13,394.46 = 5,928.34 : x
  2. Step 2: Convert to fraction form
    9,705.78/13,394.46 = 5,928.34/x
  3. Step 3: Cross multiply
    9,705.78x = 13,394.46 × 5,928.34
  4. Step 4: Simplify right side
    9,705.78x = 79,406,846.02
  5. Step 5: Solve for x
    x = 79,406,846.02/9,705.78
  6. Step 6: Final answer
    x = 8,181.40

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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.