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Finding the Fourth Proportional to 19,412, 26,788.58 and 10,580

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Solution

The fourth proportional to 19,412, 26,788.58 and 10,580 is: 14,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412 : 26,788.58 = 10,580 : x
  2. Step 2: Convert to fraction form
    19,412/26,788.58 = 10,580/x
  3. Step 3: Cross multiply
    19,412x = 26,788.58 × 10,580
  4. Step 4: Simplify right side
    19,412x = 283,423,176.40
  5. Step 5: Solve for x
    x = 283,423,176.40/19,412
  6. Step 6: Final answer
    x = 14,600.41

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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.