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Finding the Fourth Proportional to 4,277.90, 6,404.70 and 4,277.90

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Solution

The fourth proportional to 4,277.90, 6,404.70 and 4,277.90 is: 6,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.90 : 6,404.70 = 4,277.90 : x
  2. Step 2: Convert to fraction form
    4,277.90/6,404.70 = 4,277.90/x
  3. Step 3: Cross multiply
    4,277.90x = 6,404.70 × 4,277.90
  4. Step 4: Simplify right side
    4,277.90x = 27,398,666.13
  5. Step 5: Solve for x
    x = 27,398,666.13/4,277.90
  6. Step 6: Final answer
    x = 6,404.70

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1.5x scale

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.