Home / 3,430.50-5,146.74-1,970.70

Finding the Fourth Proportional to 3,430.50, 5,146.74 and 1,970.70

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Solution

The fourth proportional to 3,430.50, 5,146.74 and 1,970.70 is: 2,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.50 : 5,146.74 = 1,970.70 : x
  2. Step 2: Convert to fraction form
    3,430.50/5,146.74 = 1,970.70/x
  3. Step 3: Cross multiply
    3,430.50x = 5,146.74 × 1,970.70
  4. Step 4: Simplify right side
    3,430.50x = 10,142,680.52
  5. Step 5: Solve for x
    x = 10,142,680.52/3,430.50
  6. Step 6: Final answer
    x = 2,956.62

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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.