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Finding the Fourth Proportional to 2,971.64, 4,457.74 and 1,216.24

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Solution

The fourth proportional to 2,971.64, 4,457.74 and 1,216.24 is: 1,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.64 : 4,457.74 = 1,216.24 : x
  2. Step 2: Convert to fraction form
    2,971.64/4,457.74 = 1,216.24/x
  3. Step 3: Cross multiply
    2,971.64x = 4,457.74 × 1,216.24
  4. Step 4: Simplify right side
    2,971.64x = 5,421,681.70
  5. Step 5: Solve for x
    x = 5,421,681.70/2,971.64
  6. Step 6: Final answer
    x = 1,824.47

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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.