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Finding the Fourth Proportional to 9,814.56, 13,529.76 and 7,015.20

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Solution

The fourth proportional to 9,814.56, 13,529.76 and 7,015.20 is: 9,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.56 : 13,529.76 = 7,015.20 : x
  2. Step 2: Convert to fraction form
    9,814.56/13,529.76 = 7,015.20/x
  3. Step 3: Cross multiply
    9,814.56x = 13,529.76 × 7,015.20
  4. Step 4: Simplify right side
    9,814.56x = 94,913,972.35
  5. Step 5: Solve for x
    x = 94,913,972.35/9,814.56
  6. Step 6: Final answer
    x = 9,670.73

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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.