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Finding the Fourth Proportional to 13,465.40, 20,201.70 and 9,577.40

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Solution

The fourth proportional to 13,465.40, 20,201.70 and 9,577.40 is: 14,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.40 : 20,201.70 = 9,577.40 : x
  2. Step 2: Convert to fraction form
    13,465.40/20,201.70 = 9,577.40/x
  3. Step 3: Cross multiply
    13,465.40x = 20,201.70 × 9,577.40
  4. Step 4: Simplify right side
    13,465.40x = 193,479,761.58
  5. Step 5: Solve for x
    x = 193,479,761.58/13,465.40
  6. Step 6: Final answer
    x = 14,368.66

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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.