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Finding the Fourth Proportional to 2,980.64, 4,468.74 and 1,810.91

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Solution

The fourth proportional to 2,980.64, 4,468.74 and 1,810.91 is: 2,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.64 : 4,468.74 = 1,810.91 : x
  2. Step 2: Convert to fraction form
    2,980.64/4,468.74 = 1,810.91/x
  3. Step 3: Cross multiply
    2,980.64x = 4,468.74 × 1,810.91
  4. Step 4: Simplify right side
    2,980.64x = 8,092,485.95
  5. Step 5: Solve for x
    x = 8,092,485.95/2,980.64
  6. Step 6: Final answer
    x = 2,715.02

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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.