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Finding the Fourth Proportional to 4,287.74, 6,430.00 and 1,475.78

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Solution

The fourth proportional to 4,287.74, 6,430.00 and 1,475.78 is: 2,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.74 : 6,430.00 = 1,475.78 : x
  2. Step 2: Convert to fraction form
    4,287.74/6,430.00 = 1,475.78/x
  3. Step 3: Cross multiply
    4,287.74x = 6,430.00 × 1,475.78
  4. Step 4: Simplify right side
    4,287.74x = 9,489,225.87
  5. Step 5: Solve for x
    x = 9,489,225.87/4,287.74
  6. Step 6: Final answer
    x = 2,213.11

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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.