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Finding the Fourth Proportional to 5,206, 7,810.28 and 1,558

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Solution

The fourth proportional to 5,206, 7,810.28 and 1,558 is: 2,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 7,810.28 = 1,558 : x
  2. Step 2: Convert to fraction form
    5,206/7,810.28 = 1,558/x
  3. Step 3: Cross multiply
    5,206x = 7,810.28 × 1,558
  4. Step 4: Simplify right side
    5,206x = 12,168,416.24
  5. Step 5: Solve for x
    x = 12,168,416.24/5,206
  6. Step 6: Final answer
    x = 2,337.38

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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.