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Finding the Fourth Proportional to 19,346, 26,697.48 and 11,393.15

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Solution

The fourth proportional to 19,346, 26,697.48 and 11,393.15 is: 15,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346 : 26,697.48 = 11,393.15 : x
  2. Step 2: Convert to fraction form
    19,346/26,697.48 = 11,393.15/x
  3. Step 3: Cross multiply
    19,346x = 26,697.48 × 11,393.15
  4. Step 4: Simplify right side
    19,346x = 304,168,394.26
  5. Step 5: Solve for x
    x = 304,168,394.26/19,346
  6. Step 6: Final answer
    x = 15,722.55

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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.