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Finding the Fourth Proportional to 7,704.79, 11,547.89 and 3,539.05

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Solution

The fourth proportional to 7,704.79, 11,547.89 and 3,539.05 is: 5,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.79 : 11,547.89 = 3,539.05 : x
  2. Step 2: Convert to fraction form
    7,704.79/11,547.89 = 3,539.05/x
  3. Step 3: Cross multiply
    7,704.79x = 11,547.89 × 3,539.05
  4. Step 4: Simplify right side
    7,704.79x = 40,868,560.10
  5. Step 5: Solve for x
    x = 40,868,560.10/7,704.79
  6. Step 6: Final answer
    x = 5,304.31

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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.