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Finding the Fourth Proportional to 25,178, 34,745.64 and 13,999.76

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Solution

The fourth proportional to 25,178, 34,745.64 and 13,999.76 is: 19,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178 : 34,745.64 = 13,999.76 : x
  2. Step 2: Convert to fraction form
    25,178/34,745.64 = 13,999.76/x
  3. Step 3: Cross multiply
    25,178x = 34,745.64 × 13,999.76
  4. Step 4: Simplify right side
    25,178x = 486,430,621.05
  5. Step 5: Solve for x
    x = 486,430,621.05/25,178
  6. Step 6: Final answer
    x = 19,319.67

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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.