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Finding the Fourth Proportional to 19,422, 26,802.40 and 10,590

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Solution

The fourth proportional to 19,422, 26,802.40 and 10,590 is: 14,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422 : 26,802.40 = 10,590 : x
  2. Step 2: Convert to fraction form
    19,422/26,802.40 = 10,590/x
  3. Step 3: Cross multiply
    19,422x = 26,802.40 × 10,590
  4. Step 4: Simplify right side
    19,422x = 283,837,416
  5. Step 5: Solve for x
    x = 283,837,416/19,422
  6. Step 6: Final answer
    x = 14,614.22

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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.