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Finding the Fourth Proportional to 9,900.36, 14,840.82 and 6,389.82

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Solution

The fourth proportional to 9,900.36, 14,840.82 and 6,389.82 is: 9,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.36 : 14,840.82 = 6,389.82 : x
  2. Step 2: Convert to fraction form
    9,900.36/14,840.82 = 6,389.82/x
  3. Step 3: Cross multiply
    9,900.36x = 14,840.82 × 6,389.82
  4. Step 4: Simplify right side
    9,900.36x = 94,830,168.45
  5. Step 5: Solve for x
    x = 94,830,168.45/9,900.36
  6. Step 6: Final answer
    x = 9,578.46

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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.