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Finding the Fourth Proportional to 6,312, 9,468.05 and 1,929.54

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Solution

The fourth proportional to 6,312, 9,468.05 and 1,929.54 is: 2,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312 : 9,468.05 = 1,929.54 : x
  2. Step 2: Convert to fraction form
    6,312/9,468.05 = 1,929.54/x
  3. Step 3: Cross multiply
    6,312x = 9,468.05 × 1,929.54
  4. Step 4: Simplify right side
    6,312x = 18,268,981.20
  5. Step 5: Solve for x
    x = 18,268,981.20/6,312
  6. Step 6: Final answer
    x = 2,894.33

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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.