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Finding the Fourth Proportional to 10,673.12, 16,009.80 and 5,130.80

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Solution

The fourth proportional to 10,673.12, 16,009.80 and 5,130.80 is: 7,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.12 : 16,009.80 = 5,130.80 : x
  2. Step 2: Convert to fraction form
    10,673.12/16,009.80 = 5,130.80/x
  3. Step 3: Cross multiply
    10,673.12x = 16,009.80 × 5,130.80
  4. Step 4: Simplify right side
    10,673.12x = 82,143,081.84
  5. Step 5: Solve for x
    x = 82,143,081.84/10,673.12
  6. Step 6: Final answer
    x = 7,696.26

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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.