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Finding the Fourth Proportional to 19,358, 26,714.32 and 11,291.43

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Solution

The fourth proportional to 19,358, 26,714.32 and 11,291.43 is: 15,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,358 : 26,714.32 = 11,291.43 : x
  2. Step 2: Convert to fraction form
    19,358/26,714.32 = 11,291.43/x
  3. Step 3: Cross multiply
    19,358x = 26,714.32 × 11,291.43
  4. Step 4: Simplify right side
    19,358x = 301,642,874.28
  5. Step 5: Solve for x
    x = 301,642,874.28/19,358
  6. Step 6: Final answer
    x = 15,582.34

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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.