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Finding the Fourth Proportional to 10,455.04, 15,678 and 3,059.33

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Solution

The fourth proportional to 10,455.04, 15,678 and 3,059.33 is: 4,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.04 : 15,678 = 3,059.33 : x
  2. Step 2: Convert to fraction form
    10,455.04/15,678 = 3,059.33/x
  3. Step 3: Cross multiply
    10,455.04x = 15,678 × 3,059.33
  4. Step 4: Simplify right side
    10,455.04x = 47,964,175.74
  5. Step 5: Solve for x
    x = 47,964,175.74/10,455.04
  6. Step 6: Final answer
    x = 4,587.66

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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.