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Finding the Fourth Proportional to 9,355, 14,036.60 and 4,428.16

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Solution

The fourth proportional to 9,355, 14,036.60 and 4,428.16 is: 6,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355 : 14,036.60 = 4,428.16 : x
  2. Step 2: Convert to fraction form
    9,355/14,036.60 = 4,428.16/x
  3. Step 3: Cross multiply
    9,355x = 14,036.60 × 4,428.16
  4. Step 4: Simplify right side
    9,355x = 62,156,310.66
  5. Step 5: Solve for x
    x = 62,156,310.66/9,355
  6. Step 6: Final answer
    x = 6,644.18

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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.