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Finding the Fourth Proportional to 9,777.42, 14,666.16 and 6,868.74

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Solution

The fourth proportional to 9,777.42, 14,666.16 and 6,868.74 is: 10,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.42 : 14,666.16 = 6,868.74 : x
  2. Step 2: Convert to fraction form
    9,777.42/14,666.16 = 6,868.74/x
  3. Step 3: Cross multiply
    9,777.42x = 14,666.16 × 6,868.74
  4. Step 4: Simplify right side
    9,777.42x = 100,738,039.84
  5. Step 5: Solve for x
    x = 100,738,039.84/9,777.42
  6. Step 6: Final answer
    x = 10,303.13

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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.