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Finding the Fourth Proportional to 2,970.40, 4,097.86 and 1,790.79

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Solution

The fourth proportional to 2,970.40, 4,097.86 and 1,790.79 is: 2,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.40 : 4,097.86 = 1,790.79 : x
  2. Step 2: Convert to fraction form
    2,970.40/4,097.86 = 1,790.79/x
  3. Step 3: Cross multiply
    2,970.40x = 4,097.86 × 1,790.79
  4. Step 4: Simplify right side
    2,970.40x = 7,338,406.71
  5. Step 5: Solve for x
    x = 7,338,406.71/2,970.40
  6. Step 6: Final answer
    x = 2,470.51

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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.