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Finding the Fourth Proportional to 3,430.86, 5,142.78 and 1,583.34

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Solution

The fourth proportional to 3,430.86, 5,142.78 and 1,583.34 is: 2,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.86 : 5,142.78 = 1,583.34 : x
  2. Step 2: Convert to fraction form
    3,430.86/5,142.78 = 1,583.34/x
  3. Step 3: Cross multiply
    3,430.86x = 5,142.78 × 1,583.34
  4. Step 4: Simplify right side
    3,430.86x = 8,142,769.29
  5. Step 5: Solve for x
    x = 8,142,769.29/3,430.86
  6. Step 6: Final answer
    x = 2,373.39

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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.