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Finding the Fourth Proportional to 7,699.76, 11,549.66 and 1,856.38

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Solution

The fourth proportional to 7,699.76, 11,549.66 and 1,856.38 is: 2,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.76 : 11,549.66 = 1,856.38 : x
  2. Step 2: Convert to fraction form
    7,699.76/11,549.66 = 1,856.38/x
  3. Step 3: Cross multiply
    7,699.76x = 11,549.66 × 1,856.38
  4. Step 4: Simplify right side
    7,699.76x = 21,440,557.83
  5. Step 5: Solve for x
    x = 21,440,557.83/7,699.76
  6. Step 6: Final answer
    x = 2,784.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.