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Finding the Fourth Proportional to 2,597.70, 3,897.72 and 1,210.26

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Solution

The fourth proportional to 2,597.70, 3,897.72 and 1,210.26 is: 1,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.70 : 3,897.72 = 1,210.26 : x
  2. Step 2: Convert to fraction form
    2,597.70/3,897.72 = 1,210.26/x
  3. Step 3: Cross multiply
    2,597.70x = 3,897.72 × 1,210.26
  4. Step 4: Simplify right side
    2,597.70x = 4,717,254.61
  5. Step 5: Solve for x
    x = 4,717,254.61/2,597.70
  6. Step 6: Final answer
    x = 1,815.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.