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Finding the Fourth Proportional to 2,846.71, 4,270.25 and 972.73

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Solution

The fourth proportional to 2,846.71, 4,270.25 and 972.73 is: 1,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.71 : 4,270.25 = 972.73 : x
  2. Step 2: Convert to fraction form
    2,846.71/4,270.25 = 972.73/x
  3. Step 3: Cross multiply
    2,846.71x = 4,270.25 × 972.73
  4. Step 4: Simplify right side
    2,846.71x = 4,153,800.28
  5. Step 5: Solve for x
    x = 4,153,800.28/2,846.71
  6. Step 6: Final answer
    x = 1,459.16

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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.