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Finding the Fourth Proportional to 9,777.36, 14,645.76 and 6,479.88

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Solution

The fourth proportional to 9,777.36, 14,645.76 and 6,479.88 is: 9,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.36 : 14,645.76 = 6,479.88 : x
  2. Step 2: Convert to fraction form
    9,777.36/14,645.76 = 6,479.88/x
  3. Step 3: Cross multiply
    9,777.36x = 14,645.76 × 6,479.88
  4. Step 4: Simplify right side
    9,777.36x = 94,902,767.31
  5. Step 5: Solve for x
    x = 94,902,767.31/9,777.36
  6. Step 6: Final answer
    x = 9,706.38

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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.