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Finding the Fourth Proportional to 19,246, 26,564.88 and 12,884.80

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Solution

The fourth proportional to 19,246, 26,564.88 and 12,884.80 is: 17,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,246 : 26,564.88 = 12,884.80 : x
  2. Step 2: Convert to fraction form
    19,246/26,564.88 = 12,884.80/x
  3. Step 3: Cross multiply
    19,246x = 26,564.88 × 12,884.80
  4. Step 4: Simplify right side
    19,246x = 342,283,165.82
  5. Step 5: Solve for x
    x = 342,283,165.82/19,246
  6. Step 6: Final answer
    x = 17,784.64

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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.