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Finding the Fourth Proportional to 2,097.66, 2,887.74 and 1,572.78

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Solution

The fourth proportional to 2,097.66, 2,887.74 and 1,572.78 is: 2,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.66 : 2,887.74 = 1,572.78 : x
  2. Step 2: Convert to fraction form
    2,097.66/2,887.74 = 1,572.78/x
  3. Step 3: Cross multiply
    2,097.66x = 2,887.74 × 1,572.78
  4. Step 4: Simplify right side
    2,097.66x = 4,541,779.72
  5. Step 5: Solve for x
    x = 4,541,779.72/2,097.66
  6. Step 6: Final answer
    x = 2,165.16

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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.