Home / 6,547-9,819.42-2,164.51

Finding the Fourth Proportional to 6,547, 9,819.42 and 2,164.51

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Solution

The fourth proportional to 6,547, 9,819.42 and 2,164.51 is: 3,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547 : 9,819.42 = 2,164.51 : x
  2. Step 2: Convert to fraction form
    6,547/9,819.42 = 2,164.51/x
  3. Step 3: Cross multiply
    6,547x = 9,819.42 × 2,164.51
  4. Step 4: Simplify right side
    6,547x = 21,254,232.78
  5. Step 5: Solve for x
    x = 21,254,232.78/6,547
  6. Step 6: Final answer
    x = 3,246.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.