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Finding the Fourth Proportional to 10,798, 14,907.72 and 7,078.48

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Solution

The fourth proportional to 10,798, 14,907.72 and 7,078.48 is: 9,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798 : 14,907.72 = 7,078.48 : x
  2. Step 2: Convert to fraction form
    10,798/14,907.72 = 7,078.48/x
  3. Step 3: Cross multiply
    10,798x = 14,907.72 × 7,078.48
  4. Step 4: Simplify right side
    10,798x = 105,523,997.87
  5. Step 5: Solve for x
    x = 105,523,997.87/10,798
  6. Step 6: Final answer
    x = 9,772.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.