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Finding the Fourth Proportional to 4,547.80, 6,820.80 and 2,207.80

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Solution

The fourth proportional to 4,547.80, 6,820.80 and 2,207.80 is: 3,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.80 : 6,820.80 = 2,207.80 : x
  2. Step 2: Convert to fraction form
    4,547.80/6,820.80 = 2,207.80/x
  3. Step 3: Cross multiply
    4,547.80x = 6,820.80 × 2,207.80
  4. Step 4: Simplify right side
    4,547.80x = 15,058,962.24
  5. Step 5: Solve for x
    x = 15,058,962.24/4,547.80
  6. Step 6: Final answer
    x = 3,311.26

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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.