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Finding the Fourth Proportional to 8,549.34, 11,780.94 and 7,205.01

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Solution

The fourth proportional to 8,549.34, 11,780.94 and 7,205.01 is: 9,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.34 : 11,780.94 = 7,205.01 : x
  2. Step 2: Convert to fraction form
    8,549.34/11,780.94 = 7,205.01/x
  3. Step 3: Cross multiply
    8,549.34x = 11,780.94 × 7,205.01
  4. Step 4: Simplify right side
    8,549.34x = 84,881,790.51
  5. Step 5: Solve for x
    x = 84,881,790.51/8,549.34
  6. Step 6: Final answer
    x = 9,928.46

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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.