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Finding the Fourth Proportional to 7,698.72, 11,547.12 and 3,078.24

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Solution

The fourth proportional to 7,698.72, 11,547.12 and 3,078.24 is: 4,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.72 : 11,547.12 = 3,078.24 : x
  2. Step 2: Convert to fraction form
    7,698.72/11,547.12 = 3,078.24/x
  3. Step 3: Cross multiply
    7,698.72x = 11,547.12 × 3,078.24
  4. Step 4: Simplify right side
    7,698.72x = 35,544,806.67
  5. Step 5: Solve for x
    x = 35,544,806.67/7,698.72
  6. Step 6: Final answer
    x = 4,616.98

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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.