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Finding the Fourth Proportional to 3,210, 4,815 and 778

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Solution

The fourth proportional to 3,210, 4,815 and 778 is: 1,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210 : 4,815 = 778 : x
  2. Step 2: Convert to fraction form
    3,210/4,815 = 778/x
  3. Step 3: Cross multiply
    3,210x = 4,815 × 778
  4. Step 4: Simplify right side
    3,210x = 3,746,070
  5. Step 5: Solve for x
    x = 3,746,070/3,210
  6. Step 6: Final answer
    x = 1,167

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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.