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Finding the Fourth Proportional to 25,600.16, 35,324.16 and 14,420

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Solution

The fourth proportional to 25,600.16, 35,324.16 and 14,420 is: 19,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.16 : 35,324.16 = 14,420 : x
  2. Step 2: Convert to fraction form
    25,600.16/35,324.16 = 14,420/x
  3. Step 3: Cross multiply
    25,600.16x = 35,324.16 × 14,420
  4. Step 4: Simplify right side
    25,600.16x = 509,374,387.20
  5. Step 5: Solve for x
    x = 509,374,387.20/25,600.16
  6. Step 6: Final answer
    x = 19,897.31

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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.