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Finding the Fourth Proportional to 3,461.99, 4,778.53 and 1,970.71

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Solution

The fourth proportional to 3,461.99, 4,778.53 and 1,970.71 is: 2,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.99 : 4,778.53 = 1,970.71 : x
  2. Step 2: Convert to fraction form
    3,461.99/4,778.53 = 1,970.71/x
  3. Step 3: Cross multiply
    3,461.99x = 4,778.53 × 1,970.71
  4. Step 4: Simplify right side
    3,461.99x = 9,417,079.98
  5. Step 5: Solve for x
    x = 9,417,079.98/3,461.99
  6. Step 6: Final answer
    x = 2,720.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.