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Finding the Fourth Proportional to 9,777.40, 14,590.79 and 8,049.40

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Solution

The fourth proportional to 9,777.40, 14,590.79 and 8,049.40 is: 12,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.40 : 14,590.79 = 8,049.40 : x
  2. Step 2: Convert to fraction form
    9,777.40/14,590.79 = 8,049.40/x
  3. Step 3: Cross multiply
    9,777.40x = 14,590.79 × 8,049.40
  4. Step 4: Simplify right side
    9,777.40x = 117,447,105.03
  5. Step 5: Solve for x
    x = 117,447,105.03/9,777.40
  6. Step 6: Final answer
    x = 12,012.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.