Home / 4,547-6,821.56-1,426.84

Finding the Fourth Proportional to 4,547, 6,821.56 and 1,426.84

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Solution

The fourth proportional to 4,547, 6,821.56 and 1,426.84 is: 2,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547 : 6,821.56 = 1,426.84 : x
  2. Step 2: Convert to fraction form
    4,547/6,821.56 = 1,426.84/x
  3. Step 3: Cross multiply
    4,547x = 6,821.56 × 1,426.84
  4. Step 4: Simplify right side
    4,547x = 9,733,274.67
  5. Step 5: Solve for x
    x = 9,733,274.67/4,547
  6. Step 6: Final answer
    x = 2,140.59

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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.