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Finding the Fourth Proportional to 25,580, 35,300.40 and 14,965.76

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Solution

The fourth proportional to 25,580, 35,300.40 and 14,965.76 is: 20,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580 : 35,300.40 = 14,965.76 : x
  2. Step 2: Convert to fraction form
    25,580/35,300.40 = 14,965.76/x
  3. Step 3: Cross multiply
    25,580x = 35,300.40 × 14,965.76
  4. Step 4: Simplify right side
    25,580x = 528,297,314.30
  5. Step 5: Solve for x
    x = 528,297,314.30/25,580
  6. Step 6: Final answer
    x = 20,652.75

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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.