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Finding the Fourth Proportional to 3,975.47, 5,483.03 and 2,780.07

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Solution

The fourth proportional to 3,975.47, 5,483.03 and 2,780.07 is: 3,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.47 : 5,483.03 = 2,780.07 : x
  2. Step 2: Convert to fraction form
    3,975.47/5,483.03 = 2,780.07/x
  3. Step 3: Cross multiply
    3,975.47x = 5,483.03 × 2,780.07
  4. Step 4: Simplify right side
    3,975.47x = 15,243,207.21
  5. Step 5: Solve for x
    x = 15,243,207.21/3,975.47
  6. Step 6: Final answer
    x = 3,834.32

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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.