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Finding the Fourth Proportional to 9,777.53, 14,665.14 and 2,758.07

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Solution

The fourth proportional to 9,777.53, 14,665.14 and 2,758.07 is: 4,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.53 : 14,665.14 = 2,758.07 : x
  2. Step 2: Convert to fraction form
    9,777.53/14,665.14 = 2,758.07/x
  3. Step 3: Cross multiply
    9,777.53x = 14,665.14 × 2,758.07
  4. Step 4: Simplify right side
    9,777.53x = 40,447,409.35
  5. Step 5: Solve for x
    x = 40,447,409.35/9,777.53
  6. Step 6: Final answer
    x = 4,136.77

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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.