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Finding the Fourth Proportional to 8,275.74, 12,409.69 and 3,007.07

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Solution

The fourth proportional to 8,275.74, 12,409.69 and 3,007.07 is: 4,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.74 : 12,409.69 = 3,007.07 : x
  2. Step 2: Convert to fraction form
    8,275.74/12,409.69 = 3,007.07/x
  3. Step 3: Cross multiply
    8,275.74x = 12,409.69 × 3,007.07
  4. Step 4: Simplify right side
    8,275.74x = 37,316,806.51
  5. Step 5: Solve for x
    x = 37,316,806.51/8,275.74
  6. Step 6: Final answer
    x = 4,509.18

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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.