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Finding the Fourth Proportional to 9,912, 13,681.80 and 7,125.60

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Solution

The fourth proportional to 9,912, 13,681.80 and 7,125.60 is: 9,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912 : 13,681.80 = 7,125.60 : x
  2. Step 2: Convert to fraction form
    9,912/13,681.80 = 7,125.60/x
  3. Step 3: Cross multiply
    9,912x = 13,681.80 × 7,125.60
  4. Step 4: Simplify right side
    9,912x = 97,491,034.08
  5. Step 5: Solve for x
    x = 97,491,034.08/9,912
  6. Step 6: Final answer
    x = 9,835.66

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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.