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Finding the Fourth Proportional to 12,907.69, 19,361.75 and 3,547.65

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Solution

The fourth proportional to 12,907.69, 19,361.75 and 3,547.65 is: 5,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.69 : 19,361.75 = 3,547.65 : x
  2. Step 2: Convert to fraction form
    12,907.69/19,361.75 = 3,547.65/x
  3. Step 3: Cross multiply
    12,907.69x = 19,361.75 × 3,547.65
  4. Step 4: Simplify right side
    12,907.69x = 68,688,707.95
  5. Step 5: Solve for x
    x = 68,688,707.95/12,907.69
  6. Step 6: Final answer
    x = 5,321.53

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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.