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Finding the Fourth Proportional to 1,538.94, 2,123.74 and 840.32

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Solution

The fourth proportional to 1,538.94, 2,123.74 and 840.32 is: 1,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.94 : 2,123.74 = 840.32 : x
  2. Step 2: Convert to fraction form
    1,538.94/2,123.74 = 840.32/x
  3. Step 3: Cross multiply
    1,538.94x = 2,123.74 × 840.32
  4. Step 4: Simplify right side
    1,538.94x = 1,784,621.20
  5. Step 5: Solve for x
    x = 1,784,621.20/1,538.94
  6. Step 6: Final answer
    x = 1,159.64

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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.