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Finding the Fourth Proportional to 2,971, 4,453.80 and 1,583.74

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Solution

The fourth proportional to 2,971, 4,453.80 and 1,583.74 is: 2,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971 : 4,453.80 = 1,583.74 : x
  2. Step 2: Convert to fraction form
    2,971/4,453.80 = 1,583.74/x
  3. Step 3: Cross multiply
    2,971x = 4,453.80 × 1,583.74
  4. Step 4: Simplify right side
    2,971x = 7,053,661.21
  5. Step 5: Solve for x
    x = 7,053,661.21/2,971
  6. Step 6: Final answer
    x = 2,374.17

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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.