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Finding the Fourth Proportional to 10,653.42, 15,980.26 and 4,080

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Solution

The fourth proportional to 10,653.42, 15,980.26 and 4,080 is: 6,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.42 : 15,980.26 = 4,080 : x
  2. Step 2: Convert to fraction form
    10,653.42/15,980.26 = 4,080/x
  3. Step 3: Cross multiply
    10,653.42x = 15,980.26 × 4,080
  4. Step 4: Simplify right side
    10,653.42x = 65,199,460.80
  5. Step 5: Solve for x
    x = 65,199,460.80/10,653.42
  6. Step 6: Final answer
    x = 6,120.05

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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.