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Finding the Fourth Proportional to 6,918.46, 9,547.21 and 3,774.65

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Solution

The fourth proportional to 6,918.46, 9,547.21 and 3,774.65 is: 5,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.46 : 9,547.21 = 3,774.65 : x
  2. Step 2: Convert to fraction form
    6,918.46/9,547.21 = 3,774.65/x
  3. Step 3: Cross multiply
    6,918.46x = 9,547.21 × 3,774.65
  4. Step 4: Simplify right side
    6,918.46x = 36,037,342.92
  5. Step 5: Solve for x
    x = 36,037,342.92/6,918.46
  6. Step 6: Final answer
    x = 5,208.87

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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.