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Finding the Fourth Proportional to 4,642.79, 6,411.17 and 3,156.24

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Solution

The fourth proportional to 4,642.79, 6,411.17 and 3,156.24 is: 4,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.79 : 6,411.17 = 3,156.24 : x
  2. Step 2: Convert to fraction form
    4,642.79/6,411.17 = 3,156.24/x
  3. Step 3: Cross multiply
    4,642.79x = 6,411.17 × 3,156.24
  4. Step 4: Simplify right side
    4,642.79x = 20,235,199.09
  5. Step 5: Solve for x
    x = 20,235,199.09/4,642.79
  6. Step 6: Final answer
    x = 4,358.41

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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.