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Finding the Fourth Proportional to 9,770.52, 13,484.62 and 5,992.90

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Solution

The fourth proportional to 9,770.52, 13,484.62 and 5,992.90 is: 8,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.52 : 13,484.62 = 5,992.90 : x
  2. Step 2: Convert to fraction form
    9,770.52/13,484.62 = 5,992.90/x
  3. Step 3: Cross multiply
    9,770.52x = 13,484.62 × 5,992.90
  4. Step 4: Simplify right side
    9,770.52x = 80,811,979.20
  5. Step 5: Solve for x
    x = 80,811,979.20/9,770.52
  6. Step 6: Final answer
    x = 8,271.00

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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.