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Finding the Fourth Proportional to 19,415, 26,792.70 and 10,583

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Solution

The fourth proportional to 19,415, 26,792.70 and 10,583 is: 14,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415 : 26,792.70 = 10,583 : x
  2. Step 2: Convert to fraction form
    19,415/26,792.70 = 10,583/x
  3. Step 3: Cross multiply
    19,415x = 26,792.70 × 10,583
  4. Step 4: Simplify right side
    19,415x = 283,547,144.10
  5. Step 5: Solve for x
    x = 283,547,144.10/19,415
  6. Step 6: Final answer
    x = 14,604.54

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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.