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Finding the Fourth Proportional to 36,656.28, 54,980.64 and 12,960

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Solution

The fourth proportional to 36,656.28, 54,980.64 and 12,960 is: 19,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,656.28 : 54,980.64 = 12,960 : x
  2. Step 2: Convert to fraction form
    36,656.28/54,980.64 = 12,960/x
  3. Step 3: Cross multiply
    36,656.28x = 54,980.64 × 12,960
  4. Step 4: Simplify right side
    36,656.28x = 712,549,094.40
  5. Step 5: Solve for x
    x = 712,549,094.40/36,656.28
  6. Step 6: Final answer
    x = 19,438.66

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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.