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Finding the Fourth Proportional to 5,210, 7,815 and 1,562

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Solution

The fourth proportional to 5,210, 7,815 and 1,562 is: 2,343

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210 : 7,815 = 1,562 : x
  2. Step 2: Convert to fraction form
    5,210/7,815 = 1,562/x
  3. Step 3: Cross multiply
    5,210x = 7,815 × 1,562
  4. Step 4: Simplify right side
    5,210x = 12,207,030
  5. Step 5: Solve for x
    x = 12,207,030/5,210
  6. Step 6: Final answer
    x = 2,343

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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.