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Finding the Fourth Proportional to 5,411.70, 7,465.41 and 4,985.10

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Solution

The fourth proportional to 5,411.70, 7,465.41 and 4,985.10 is: 6,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.70 : 7,465.41 = 4,985.10 : x
  2. Step 2: Convert to fraction form
    5,411.70/7,465.41 = 4,985.10/x
  3. Step 3: Cross multiply
    5,411.70x = 7,465.41 × 4,985.10
  4. Step 4: Simplify right side
    5,411.70x = 37,215,815.39
  5. Step 5: Solve for x
    x = 37,215,815.39/5,411.70
  6. Step 6: Final answer
    x = 6,876.92

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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.