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Finding the Fourth Proportional to 4,710.70, 7,064.97 and 1,423.78

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Solution

The fourth proportional to 4,710.70, 7,064.97 and 1,423.78 is: 2,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.70 : 7,064.97 = 1,423.78 : x
  2. Step 2: Convert to fraction form
    4,710.70/7,064.97 = 1,423.78/x
  3. Step 3: Cross multiply
    4,710.70x = 7,064.97 × 1,423.78
  4. Step 4: Simplify right side
    4,710.70x = 10,058,962.99
  5. Step 5: Solve for x
    x = 10,058,962.99/4,710.70
  6. Step 6: Final answer
    x = 2,135.34

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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.