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Finding the Fourth Proportional to 8,503.77, 11,706.48 and 7,009.32

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Solution

The fourth proportional to 8,503.77, 11,706.48 and 7,009.32 is: 9,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.77 : 11,706.48 = 7,009.32 : x
  2. Step 2: Convert to fraction form
    8,503.77/11,706.48 = 7,009.32/x
  3. Step 3: Cross multiply
    8,503.77x = 11,706.48 × 7,009.32
  4. Step 4: Simplify right side
    8,503.77x = 82,054,464.39
  5. Step 5: Solve for x
    x = 82,054,464.39/8,503.77
  6. Step 6: Final answer
    x = 9,649.19

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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.