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Finding the Fourth Proportional to 35,388, 53,091.60 and 10,764

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Solution

The fourth proportional to 35,388, 53,091.60 and 10,764 is: 16,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,388 : 53,091.60 = 10,764 : x
  2. Step 2: Convert to fraction form
    35,388/53,091.60 = 10,764/x
  3. Step 3: Cross multiply
    35,388x = 53,091.60 × 10,764
  4. Step 4: Simplify right side
    35,388x = 571,477,982.40
  5. Step 5: Solve for x
    x = 571,477,982.40/35,388
  6. Step 6: Final answer
    x = 16,148.92

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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.