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Finding the Fourth Proportional to 3,602.80, 4,970.50 and 2,276

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Solution

The fourth proportional to 3,602.80, 4,970.50 and 2,276 is: 3,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.80 : 4,970.50 = 2,276 : x
  2. Step 2: Convert to fraction form
    3,602.80/4,970.50 = 2,276/x
  3. Step 3: Cross multiply
    3,602.80x = 4,970.50 × 2,276
  4. Step 4: Simplify right side
    3,602.80x = 11,312,858
  5. Step 5: Solve for x
    x = 11,312,858/3,602.80
  6. Step 6: Final answer
    x = 3,140.02

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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.