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Finding the Fourth Proportional to 5,236, 7,854 and 1,588

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Solution

The fourth proportional to 5,236, 7,854 and 1,588 is: 2,382

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236 : 7,854 = 1,588 : x
  2. Step 2: Convert to fraction form
    5,236/7,854 = 1,588/x
  3. Step 3: Cross multiply
    5,236x = 7,854 × 1,588
  4. Step 4: Simplify right side
    5,236x = 12,472,152
  5. Step 5: Solve for x
    x = 12,472,152/5,236
  6. Step 6: Final answer
    x = 2,382

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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.