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Finding the Fourth Proportional to 43,415, 65,130.96 and 18,454.76

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Solution

The fourth proportional to 43,415, 65,130.96 and 18,454.76 is: 27,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,415 : 65,130.96 = 18,454.76 : x
  2. Step 2: Convert to fraction form
    43,415/65,130.96 = 18,454.76/x
  3. Step 3: Cross multiply
    43,415x = 65,130.96 × 18,454.76
  4. Step 4: Simplify right side
    43,415x = 1,201,976,235.37
  5. Step 5: Solve for x
    x = 1,201,976,235.37/43,415
  6. Step 6: Final answer
    x = 27,685.74

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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.