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Finding the Fourth Proportional to 35,385, 53,077.26 and 9,089.76

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Solution

The fourth proportional to 35,385, 53,077.26 and 9,089.76 is: 13,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,385 : 53,077.26 = 9,089.76 : x
  2. Step 2: Convert to fraction form
    35,385/53,077.26 = 9,089.76/x
  3. Step 3: Cross multiply
    35,385x = 53,077.26 × 9,089.76
  4. Step 4: Simplify right side
    35,385x = 482,459,554.86
  5. Step 5: Solve for x
    x = 482,459,554.86/35,385
  6. Step 6: Final answer
    x = 13,634.58

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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.