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Finding the Fourth Proportional to 38,309.36, 57,465 and 10,607.60

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Solution

The fourth proportional to 38,309.36, 57,465 and 10,607.60 is: 15,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309.36 : 57,465 = 10,607.60 : x
  2. Step 2: Convert to fraction form
    38,309.36/57,465 = 10,607.60/x
  3. Step 3: Cross multiply
    38,309.36x = 57,465 × 10,607.60
  4. Step 4: Simplify right side
    38,309.36x = 609,565,734
  5. Step 5: Solve for x
    x = 609,565,734/38,309.36
  6. Step 6: Final answer
    x = 15,911.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.