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Finding the Fourth Proportional to 11,574, 15,965.04 and 6,855.12

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Solution

The fourth proportional to 11,574, 15,965.04 and 6,855.12 is: 9,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574 : 15,965.04 = 6,855.12 : x
  2. Step 2: Convert to fraction form
    11,574/15,965.04 = 6,855.12/x
  3. Step 3: Cross multiply
    11,574x = 15,965.04 × 6,855.12
  4. Step 4: Simplify right side
    11,574x = 109,442,265.00
  5. Step 5: Solve for x
    x = 109,442,265.00/11,574
  6. Step 6: Final answer
    x = 9,455.87

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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.