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Finding the Fourth Proportional to 5,190.70, 7,783.70 and 1,492.10

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Solution

The fourth proportional to 5,190.70, 7,783.70 and 1,492.10 is: 2,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.70 : 7,783.70 = 1,492.10 : x
  2. Step 2: Convert to fraction form
    5,190.70/7,783.70 = 1,492.10/x
  3. Step 3: Cross multiply
    5,190.70x = 7,783.70 × 1,492.10
  4. Step 4: Simplify right side
    5,190.70x = 11,614,058.77
  5. Step 5: Solve for x
    x = 11,614,058.77/5,190.70
  6. Step 6: Final answer
    x = 2,237.47

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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.