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Finding the Fourth Proportional to 3,130.76, 4,700.75 and 1,746.80

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Solution

The fourth proportional to 3,130.76, 4,700.75 and 1,746.80 is: 2,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.76 : 4,700.75 = 1,746.80 : x
  2. Step 2: Convert to fraction form
    3,130.76/4,700.75 = 1,746.80/x
  3. Step 3: Cross multiply
    3,130.76x = 4,700.75 × 1,746.80
  4. Step 4: Simplify right side
    3,130.76x = 8,211,237.86
  5. Step 5: Solve for x
    x = 8,211,237.86/3,130.76
  6. Step 6: Final answer
    x = 2,622.77

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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.