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Finding the Fourth Proportional to 25,578, 35,297.64 and 14,963.76

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Solution

The fourth proportional to 25,578, 35,297.64 and 14,963.76 is: 20,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578 : 35,297.64 = 14,963.76 : x
  2. Step 2: Convert to fraction form
    25,578/35,297.64 = 14,963.76/x
  3. Step 3: Cross multiply
    25,578x = 35,297.64 × 14,963.76
  4. Step 4: Simplify right side
    25,578x = 528,185,413.53
  5. Step 5: Solve for x
    x = 528,185,413.53/25,578
  6. Step 6: Final answer
    x = 20,649.99

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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.