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Finding the Fourth Proportional to 6,917.55, 9,547.08 and 4,228.22

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Solution

The fourth proportional to 6,917.55, 9,547.08 and 4,228.22 is: 5,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.55 : 9,547.08 = 4,228.22 : x
  2. Step 2: Convert to fraction form
    6,917.55/9,547.08 = 4,228.22/x
  3. Step 3: Cross multiply
    6,917.55x = 9,547.08 × 4,228.22
  4. Step 4: Simplify right side
    6,917.55x = 40,367,091.01
  5. Step 5: Solve for x
    x = 40,367,091.01/6,917.55
  6. Step 6: Final answer
    x = 5,835.46

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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.