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Finding the Fourth Proportional to 1,356.94, 2,037.74 and 840.01

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Solution

The fourth proportional to 1,356.94, 2,037.74 and 840.01 is: 1,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.94 : 2,037.74 = 840.01 : x
  2. Step 2: Convert to fraction form
    1,356.94/2,037.74 = 840.01/x
  3. Step 3: Cross multiply
    1,356.94x = 2,037.74 × 840.01
  4. Step 4: Simplify right side
    1,356.94x = 1,711,721.98
  5. Step 5: Solve for x
    x = 1,711,721.98/1,356.94
  6. Step 6: Final answer
    x = 1,261.46

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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.