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Finding the Fourth Proportional to 4,748.80, 7,128.60 and 2,802.10

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Solution

The fourth proportional to 4,748.80, 7,128.60 and 2,802.10 is: 4,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.80 : 7,128.60 = 2,802.10 : x
  2. Step 2: Convert to fraction form
    4,748.80/7,128.60 = 2,802.10/x
  3. Step 3: Cross multiply
    4,748.80x = 7,128.60 × 2,802.10
  4. Step 4: Simplify right side
    4,748.80x = 19,975,050.06
  5. Step 5: Solve for x
    x = 19,975,050.06/4,748.80
  6. Step 6: Final answer
    x = 4,206.34

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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.