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Finding the Fourth Proportional to 9,717.74, 14,500.80 and 8,670.54

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Solution

The fourth proportional to 9,717.74, 14,500.80 and 8,670.54 is: 12,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.74 : 14,500.80 = 8,670.54 : x
  2. Step 2: Convert to fraction form
    9,717.74/14,500.80 = 8,670.54/x
  3. Step 3: Cross multiply
    9,717.74x = 14,500.80 × 8,670.54
  4. Step 4: Simplify right side
    9,717.74x = 125,729,796.42
  5. Step 5: Solve for x
    x = 125,729,796.42/9,717.74
  6. Step 6: Final answer
    x = 12,938.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.