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Finding the Fourth Proportional to 21,792.70, 30,075.96 and 12,842.98

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Solution

The fourth proportional to 21,792.70, 30,075.96 and 12,842.98 is: 17,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,792.70 : 30,075.96 = 12,842.98 : x
  2. Step 2: Convert to fraction form
    21,792.70/30,075.96 = 12,842.98/x
  3. Step 3: Cross multiply
    21,792.70x = 30,075.96 × 12,842.98
  4. Step 4: Simplify right side
    21,792.70x = 386,264,952.76
  5. Step 5: Solve for x
    x = 386,264,952.76/21,792.70
  6. Step 6: Final answer
    x = 17,724.51

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1.5x scale

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.