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Finding the Fourth Proportional to 2,097.70, 2,897.42 and 1,537.30

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Solution

The fourth proportional to 2,097.70, 2,897.42 and 1,537.30 is: 2,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.70 : 2,897.42 = 1,537.30 : x
  2. Step 2: Convert to fraction form
    2,097.70/2,897.42 = 1,537.30/x
  3. Step 3: Cross multiply
    2,097.70x = 2,897.42 × 1,537.30
  4. Step 4: Simplify right side
    2,097.70x = 4,454,203.77
  5. Step 5: Solve for x
    x = 4,454,203.77/2,097.70
  6. Step 6: Final answer
    x = 2,123.38

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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.