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Finding the Fourth Proportional to 18,539, 27,808.64 and 4,688

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Solution

The fourth proportional to 18,539, 27,808.64 and 4,688 is: 7,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539 : 27,808.64 = 4,688 : x
  2. Step 2: Convert to fraction form
    18,539/27,808.64 = 4,688/x
  3. Step 3: Cross multiply
    18,539x = 27,808.64 × 4,688
  4. Step 4: Simplify right side
    18,539x = 130,366,904.32
  5. Step 5: Solve for x
    x = 130,366,904.32/18,539
  6. Step 6: Final answer
    x = 7,032.04

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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.