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Finding the Fourth Proportional to 3,465.88, 4,784.70 and 2,419

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Solution

The fourth proportional to 3,465.88, 4,784.70 and 2,419 is: 3,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.88 : 4,784.70 = 2,419 : x
  2. Step 2: Convert to fraction form
    3,465.88/4,784.70 = 2,419/x
  3. Step 3: Cross multiply
    3,465.88x = 4,784.70 × 2,419
  4. Step 4: Simplify right side
    3,465.88x = 11,574,189.30
  5. Step 5: Solve for x
    x = 11,574,189.30/3,465.88
  6. Step 6: Final answer
    x = 3,339.47

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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.