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Finding the Fourth Proportional to 2,158.97, 2,980.74 and 1,495.58

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Solution

The fourth proportional to 2,158.97, 2,980.74 and 1,495.58 is: 2,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.97 : 2,980.74 = 1,495.58 : x
  2. Step 2: Convert to fraction form
    2,158.97/2,980.74 = 1,495.58/x
  3. Step 3: Cross multiply
    2,158.97x = 2,980.74 × 1,495.58
  4. Step 4: Simplify right side
    2,158.97x = 4,457,935.13
  5. Step 5: Solve for x
    x = 4,457,935.13/2,158.97
  6. Step 6: Final answer
    x = 2,064.84

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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.