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Finding the Fourth Proportional to 4,592, 6,888.32 and 1,856

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Solution

The fourth proportional to 4,592, 6,888.32 and 1,856 is: 2,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592 : 6,888.32 = 1,856 : x
  2. Step 2: Convert to fraction form
    4,592/6,888.32 = 1,856/x
  3. Step 3: Cross multiply
    4,592x = 6,888.32 × 1,856
  4. Step 4: Simplify right side
    4,592x = 12,784,721.92
  5. Step 5: Solve for x
    x = 12,784,721.92/4,592
  6. Step 6: Final answer
    x = 2,784.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.