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Finding the Fourth Proportional to 19,488, 26,893.44 and 10,656

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Solution

The fourth proportional to 19,488, 26,893.44 and 10,656 is: 14,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,488 : 26,893.44 = 10,656 : x
  2. Step 2: Convert to fraction form
    19,488/26,893.44 = 10,656/x
  3. Step 3: Cross multiply
    19,488x = 26,893.44 × 10,656
  4. Step 4: Simplify right side
    19,488x = 286,576,496.64
  5. Step 5: Solve for x
    x = 286,576,496.64/19,488
  6. Step 6: Final answer
    x = 14,705.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.