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Finding the Fourth Proportional to 3,402, 4,680.18 and 3,256.20

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Solution

The fourth proportional to 3,402, 4,680.18 and 3,256.20 is: 4,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 4,680.18 = 3,256.20 : x
  2. Step 2: Convert to fraction form
    3,402/4,680.18 = 3,256.20/x
  3. Step 3: Cross multiply
    3,402x = 4,680.18 × 3,256.20
  4. Step 4: Simplify right side
    3,402x = 15,239,602.12
  5. Step 5: Solve for x
    x = 15,239,602.12/3,402
  6. Step 6: Final answer
    x = 4,479.60

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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.