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Finding the Fourth Proportional to 35,206, 52,809 and 10,587.76

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Solution

The fourth proportional to 35,206, 52,809 and 10,587.76 is: 15,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206 : 52,809 = 10,587.76 : x
  2. Step 2: Convert to fraction form
    35,206/52,809 = 10,587.76/x
  3. Step 3: Cross multiply
    35,206x = 52,809 × 10,587.76
  4. Step 4: Simplify right side
    35,206x = 559,129,017.84
  5. Step 5: Solve for x
    x = 559,129,017.84/35,206
  6. Step 6: Final answer
    x = 15,881.64

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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.