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Finding the Fourth Proportional to 2,865, 4,297.46 and 1,615.68

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Solution

The fourth proportional to 2,865, 4,297.46 and 1,615.68 is: 2,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865 : 4,297.46 = 1,615.68 : x
  2. Step 2: Convert to fraction form
    2,865/4,297.46 = 1,615.68/x
  3. Step 3: Cross multiply
    2,865x = 4,297.46 × 1,615.68
  4. Step 4: Simplify right side
    2,865x = 6,943,320.17
  5. Step 5: Solve for x
    x = 6,943,320.17/2,865
  6. Step 6: Final answer
    x = 2,423.50

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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.