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Finding the Fourth Proportional to 6,460, 8,914.80 and 3,516

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Solution

The fourth proportional to 6,460, 8,914.80 and 3,516 is: 4,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460 : 8,914.80 = 3,516 : x
  2. Step 2: Convert to fraction form
    6,460/8,914.80 = 3,516/x
  3. Step 3: Cross multiply
    6,460x = 8,914.80 × 3,516
  4. Step 4: Simplify right side
    6,460x = 31,344,436.80
  5. Step 5: Solve for x
    x = 31,344,436.80/6,460
  6. Step 6: Final answer
    x = 4,852.08

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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.