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Finding the Fourth Proportional to 9,783.81, 13,506.66 and 7,655.58

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Solution

The fourth proportional to 9,783.81, 13,506.66 and 7,655.58 is: 10,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.81 : 13,506.66 = 7,655.58 : x
  2. Step 2: Convert to fraction form
    9,783.81/13,506.66 = 7,655.58/x
  3. Step 3: Cross multiply
    9,783.81x = 13,506.66 × 7,655.58
  4. Step 4: Simplify right side
    9,783.81x = 103,401,316.16
  5. Step 5: Solve for x
    x = 103,401,316.16/9,783.81
  6. Step 6: Final answer
    x = 10,568.61

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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.