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Finding the Fourth Proportional to 9,257.76, 12,775.62 and 5,065.98

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Solution

The fourth proportional to 9,257.76, 12,775.62 and 5,065.98 is: 6,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.76 : 12,775.62 = 5,065.98 : x
  2. Step 2: Convert to fraction form
    9,257.76/12,775.62 = 5,065.98/x
  3. Step 3: Cross multiply
    9,257.76x = 12,775.62 × 5,065.98
  4. Step 4: Simplify right side
    9,257.76x = 64,721,035.41
  5. Step 5: Solve for x
    x = 64,721,035.41/9,257.76
  6. Step 6: Final answer
    x = 6,991.00

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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.