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Finding the Fourth Proportional to 10,415.76, 14,368.64 and 7,098

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Solution

The fourth proportional to 10,415.76, 14,368.64 and 7,098 is: 9,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.76 : 14,368.64 = 7,098 : x
  2. Step 2: Convert to fraction form
    10,415.76/14,368.64 = 7,098/x
  3. Step 3: Cross multiply
    10,415.76x = 14,368.64 × 7,098
  4. Step 4: Simplify right side
    10,415.76x = 101,988,606.72
  5. Step 5: Solve for x
    x = 101,988,606.72/10,415.76
  6. Step 6: Final answer
    x = 9,791.76

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Why These Related Problems?

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