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Finding the Fourth Proportional to 2,971.58, 4,461.98 and 2,840.11

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Solution

The fourth proportional to 2,971.58, 4,461.98 and 2,840.11 is: 4,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.58 : 4,461.98 = 2,840.11 : x
  2. Step 2: Convert to fraction form
    2,971.58/4,461.98 = 2,840.11/x
  3. Step 3: Cross multiply
    2,971.58x = 4,461.98 × 2,840.11
  4. Step 4: Simplify right side
    2,971.58x = 12,672,514.02
  5. Step 5: Solve for x
    x = 12,672,514.02/2,971.58
  6. Step 6: Final answer
    x = 4,264.57

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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.