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Finding the Fourth Proportional to 1,970.30, 2,937.78 and 1,899.16

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Solution

The fourth proportional to 1,970.30, 2,937.78 and 1,899.16 is: 2,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.30 : 2,937.78 = 1,899.16 : x
  2. Step 2: Convert to fraction form
    1,970.30/2,937.78 = 1,899.16/x
  3. Step 3: Cross multiply
    1,970.30x = 2,937.78 × 1,899.16
  4. Step 4: Simplify right side
    1,970.30x = 5,579,314.26
  5. Step 5: Solve for x
    x = 5,579,314.26/1,970.30
  6. Step 6: Final answer
    x = 2,831.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.