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Finding the Fourth Proportional to 18,465.64, 27,700.38 and 5,985.16

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Solution

The fourth proportional to 18,465.64, 27,700.38 and 5,985.16 is: 8,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,465.64 : 27,700.38 = 5,985.16 : x
  2. Step 2: Convert to fraction form
    18,465.64/27,700.38 = 5,985.16/x
  3. Step 3: Cross multiply
    18,465.64x = 27,700.38 × 5,985.16
  4. Step 4: Simplify right side
    18,465.64x = 165,791,137.11
  5. Step 5: Solve for x
    x = 165,791,137.11/18,465.64
  6. Step 6: Final answer
    x = 8,978.36

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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.