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Finding the Fourth Proportional to 2,097.68, 2,897.68 and 1,950.08

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Solution

The fourth proportional to 2,097.68, 2,897.68 and 1,950.08 is: 2,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.68 : 2,897.68 = 1,950.08 : x
  2. Step 2: Convert to fraction form
    2,097.68/2,897.68 = 1,950.08/x
  3. Step 3: Cross multiply
    2,097.68x = 2,897.68 × 1,950.08
  4. Step 4: Simplify right side
    2,097.68x = 5,650,707.81
  5. Step 5: Solve for x
    x = 5,650,707.81/2,097.68
  6. Step 6: Final answer
    x = 2,693.79

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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.