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Finding the Fourth Proportional to 11,669.78, 16,104.93 and 7,485.14

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Solution

The fourth proportional to 11,669.78, 16,104.93 and 7,485.14 is: 10,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.78 : 16,104.93 = 7,485.14 : x
  2. Step 2: Convert to fraction form
    11,669.78/16,104.93 = 7,485.14/x
  3. Step 3: Cross multiply
    11,669.78x = 16,104.93 × 7,485.14
  4. Step 4: Simplify right side
    11,669.78x = 120,547,655.74
  5. Step 5: Solve for x
    x = 120,547,655.74/11,669.78
  6. Step 6: Final answer
    x = 10,329.90

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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.