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Finding the Fourth Proportional to 35,390, 53,094.60 and 10,766

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Solution

The fourth proportional to 35,390, 53,094.60 and 10,766 is: 16,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,390 : 53,094.60 = 10,766 : x
  2. Step 2: Convert to fraction form
    35,390/53,094.60 = 10,766/x
  3. Step 3: Cross multiply
    35,390x = 53,094.60 × 10,766
  4. Step 4: Simplify right side
    35,390x = 571,616,463.60
  5. Step 5: Solve for x
    x = 571,616,463.60/35,390
  6. Step 6: Final answer
    x = 16,151.92

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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.