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Finding the Fourth Proportional to 4,459.89, 6,690.16 and 1,538.16

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Solution

The fourth proportional to 4,459.89, 6,690.16 and 1,538.16 is: 2,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.89 : 6,690.16 = 1,538.16 : x
  2. Step 2: Convert to fraction form
    4,459.89/6,690.16 = 1,538.16/x
  3. Step 3: Cross multiply
    4,459.89x = 6,690.16 × 1,538.16
  4. Step 4: Simplify right side
    4,459.89x = 10,290,513.34
  5. Step 5: Solve for x
    x = 10,290,513.34/4,459.89
  6. Step 6: Final answer
    x = 2,307.34

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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.