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Finding the Fourth Proportional to 19,310, 26,647.80 and 10,478

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Solution

The fourth proportional to 19,310, 26,647.80 and 10,478 is: 14,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310 : 26,647.80 = 10,478 : x
  2. Step 2: Convert to fraction form
    19,310/26,647.80 = 10,478/x
  3. Step 3: Cross multiply
    19,310x = 26,647.80 × 10,478
  4. Step 4: Simplify right side
    19,310x = 279,215,648.40
  5. Step 5: Solve for x
    x = 279,215,648.40/19,310
  6. Step 6: Final answer
    x = 14,459.64

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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.