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Finding the Fourth Proportional to 6,865.51, 9,477 and 4,216.51

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Solution

The fourth proportional to 6,865.51, 9,477 and 4,216.51 is: 5,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.51 : 9,477 = 4,216.51 : x
  2. Step 2: Convert to fraction form
    6,865.51/9,477 = 4,216.51/x
  3. Step 3: Cross multiply
    6,865.51x = 9,477 × 4,216.51
  4. Step 4: Simplify right side
    6,865.51x = 39,959,865.27
  5. Step 5: Solve for x
    x = 39,959,865.27/6,865.51
  6. Step 6: Final answer
    x = 5,820.38

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Half scale
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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.