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Finding the Fourth Proportional to 3,406.57, 4,701.08 and 1,915.00

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Solution

The fourth proportional to 3,406.57, 4,701.08 and 1,915.00 is: 2,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.57 : 4,701.08 = 1,915.00 : x
  2. Step 2: Convert to fraction form
    3,406.57/4,701.08 = 1,915.00/x
  3. Step 3: Cross multiply
    3,406.57x = 4,701.08 × 1,915.00
  4. Step 4: Simplify right side
    3,406.57x = 9,002,535.12
  5. Step 5: Solve for x
    x = 9,002,535.12/3,406.57
  6. Step 6: Final answer
    x = 2,642.70

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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.