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Finding the Fourth Proportional to 35,404, 53,106 and 10,780

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Solution

The fourth proportional to 35,404, 53,106 and 10,780 is: 16,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,404 : 53,106 = 10,780 : x
  2. Step 2: Convert to fraction form
    35,404/53,106 = 10,780/x
  3. Step 3: Cross multiply
    35,404x = 53,106 × 10,780
  4. Step 4: Simplify right side
    35,404x = 572,482,680
  5. Step 5: Solve for x
    x = 572,482,680/35,404
  6. Step 6: Final answer
    x = 16,170

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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.