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Finding the Fourth Proportional to 2,937.69, 4,056.12 and 1,820.16

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Solution

The fourth proportional to 2,937.69, 4,056.12 and 1,820.16 is: 2,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.69 : 4,056.12 = 1,820.16 : x
  2. Step 2: Convert to fraction form
    2,937.69/4,056.12 = 1,820.16/x
  3. Step 3: Cross multiply
    2,937.69x = 4,056.12 × 1,820.16
  4. Step 4: Simplify right side
    2,937.69x = 7,382,787.38
  5. Step 5: Solve for x
    x = 7,382,787.38/2,937.69
  6. Step 6: Final answer
    x = 2,513.13

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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.