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Finding the Fourth Proportional to 2,153.00, 2,970.65 and 1,356.54

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Solution

The fourth proportional to 2,153.00, 2,970.65 and 1,356.54 is: 1,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.00 : 2,970.65 = 1,356.54 : x
  2. Step 2: Convert to fraction form
    2,153.00/2,970.65 = 1,356.54/x
  3. Step 3: Cross multiply
    2,153.00x = 2,970.65 × 1,356.54
  4. Step 4: Simplify right side
    2,153.00x = 4,029,794.92
  5. Step 5: Solve for x
    x = 4,029,794.92/2,153.00
  6. Step 6: Final answer
    x = 1,871.71

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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.