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Finding the Fourth Proportional to 2,688.95, 3,700.64 and 2,274.75

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Solution

The fourth proportional to 2,688.95, 3,700.64 and 2,274.75 is: 3,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.95 : 3,700.64 = 2,274.75 : x
  2. Step 2: Convert to fraction form
    2,688.95/3,700.64 = 2,274.75/x
  3. Step 3: Cross multiply
    2,688.95x = 3,700.64 × 2,274.75
  4. Step 4: Simplify right side
    2,688.95x = 8,418,036.53
  5. Step 5: Solve for x
    x = 8,418,036.53/2,688.95
  6. Step 6: Final answer
    x = 3,130.60

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1.5x scale

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.