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Finding the Fourth Proportional to 9,770.37, 14,656.37 and 5,390.84

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Solution

The fourth proportional to 9,770.37, 14,656.37 and 5,390.84 is: 8,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.37 : 14,656.37 = 5,390.84 : x
  2. Step 2: Convert to fraction form
    9,770.37/14,656.37 = 5,390.84/x
  3. Step 3: Cross multiply
    9,770.37x = 14,656.37 × 5,390.84
  4. Step 4: Simplify right side
    9,770.37x = 79,010,045.41
  5. Step 5: Solve for x
    x = 79,010,045.41/9,770.37
  6. Step 6: Final answer
    x = 8,086.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.