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Finding the Fourth Proportional to 2,373.72, 3,274.64 and 1,428.94

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Solution

The fourth proportional to 2,373.72, 3,274.64 and 1,428.94 is: 1,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.72 : 3,274.64 = 1,428.94 : x
  2. Step 2: Convert to fraction form
    2,373.72/3,274.64 = 1,428.94/x
  3. Step 3: Cross multiply
    2,373.72x = 3,274.64 × 1,428.94
  4. Step 4: Simplify right side
    2,373.72x = 4,679,264.08
  5. Step 5: Solve for x
    x = 4,679,264.08/2,373.72
  6. Step 6: Final answer
    x = 1,971.28

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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.