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Finding the Fourth Proportional to 1,970, 2,718.60 and 1,225.36

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Solution

The fourth proportional to 1,970, 2,718.60 and 1,225.36 is: 1,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970 : 2,718.60 = 1,225.36 : x
  2. Step 2: Convert to fraction form
    1,970/2,718.60 = 1,225.36/x
  3. Step 3: Cross multiply
    1,970x = 2,718.60 × 1,225.36
  4. Step 4: Simplify right side
    1,970x = 3,331,263.70
  5. Step 5: Solve for x
    x = 3,331,263.70/1,970
  6. Step 6: Final answer
    x = 1,691.00

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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.