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Finding the Fourth Proportional to 8,903.02, 12,290.80 and 8,314.06

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Solution

The fourth proportional to 8,903.02, 12,290.80 and 8,314.06 is: 11,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.02 : 12,290.80 = 8,314.06 : x
  2. Step 2: Convert to fraction form
    8,903.02/12,290.80 = 8,314.06/x
  3. Step 3: Cross multiply
    8,903.02x = 12,290.80 × 8,314.06
  4. Step 4: Simplify right side
    8,903.02x = 102,186,448.65
  5. Step 5: Solve for x
    x = 102,186,448.65/8,903.02
  6. Step 6: Final answer
    x = 11,477.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.