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Finding the Fourth Proportional to 2,938.79, 4,056 and 1,760.24

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Solution

The fourth proportional to 2,938.79, 4,056 and 1,760.24 is: 2,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.79 : 4,056 = 1,760.24 : x
  2. Step 2: Convert to fraction form
    2,938.79/4,056 = 1,760.24/x
  3. Step 3: Cross multiply
    2,938.79x = 4,056 × 1,760.24
  4. Step 4: Simplify right side
    2,938.79x = 7,139,533.44
  5. Step 5: Solve for x
    x = 7,139,533.44/2,938.79
  6. Step 6: Final answer
    x = 2,429.41

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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.