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Finding the Fourth Proportional to 9,862.56, 13,610 and 5,670.56

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Solution

The fourth proportional to 9,862.56, 13,610 and 5,670.56 is: 7,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.56 : 13,610 = 5,670.56 : x
  2. Step 2: Convert to fraction form
    9,862.56/13,610 = 5,670.56/x
  3. Step 3: Cross multiply
    9,862.56x = 13,610 × 5,670.56
  4. Step 4: Simplify right side
    9,862.56x = 77,176,321.60
  5. Step 5: Solve for x
    x = 77,176,321.60/9,862.56
  6. Step 6: Final answer
    x = 7,825.18

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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.