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Finding the Fourth Proportional to 10,685.85, 14,742.16 and 7,102.54

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Solution

The fourth proportional to 10,685.85, 14,742.16 and 7,102.54 is: 9,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.85 : 14,742.16 = 7,102.54 : x
  2. Step 2: Convert to fraction form
    10,685.85/14,742.16 = 7,102.54/x
  3. Step 3: Cross multiply
    10,685.85x = 14,742.16 × 7,102.54
  4. Step 4: Simplify right side
    10,685.85x = 104,706,781.09
  5. Step 5: Solve for x
    x = 104,706,781.09/10,685.85
  6. Step 6: Final answer
    x = 9,798.64

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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.