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Finding the Fourth Proportional to 9,509.81, 13,125.65 and 5,977.80

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Solution

The fourth proportional to 9,509.81, 13,125.65 and 5,977.80 is: 8,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.81 : 13,125.65 = 5,977.80 : x
  2. Step 2: Convert to fraction form
    9,509.81/13,125.65 = 5,977.80/x
  3. Step 3: Cross multiply
    9,509.81x = 13,125.65 × 5,977.80
  4. Step 4: Simplify right side
    9,509.81x = 78,462,480.68
  5. Step 5: Solve for x
    x = 78,462,480.68/9,509.81
  6. Step 6: Final answer
    x = 8,250.69

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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.