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Finding the Fourth Proportional to 4,602.34, 6,906.48 and 1,680.40

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Solution

The fourth proportional to 4,602.34, 6,906.48 and 1,680.40 is: 2,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.34 : 6,906.48 = 1,680.40 : x
  2. Step 2: Convert to fraction form
    4,602.34/6,906.48 = 1,680.40/x
  3. Step 3: Cross multiply
    4,602.34x = 6,906.48 × 1,680.40
  4. Step 4: Simplify right side
    4,602.34x = 11,605,648.99
  5. Step 5: Solve for x
    x = 11,605,648.99/4,602.34
  6. Step 6: Final answer
    x = 2,521.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.