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Finding the Fourth Proportional to 9,513.56, 13,128 and 5,321

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Solution

The fourth proportional to 9,513.56, 13,128 and 5,321 is: 7,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.56 : 13,128 = 5,321 : x
  2. Step 2: Convert to fraction form
    9,513.56/13,128 = 5,321/x
  3. Step 3: Cross multiply
    9,513.56x = 13,128 × 5,321
  4. Step 4: Simplify right side
    9,513.56x = 69,854,088
  5. Step 5: Solve for x
    x = 69,854,088/9,513.56
  6. Step 6: Final answer
    x = 7,342.58

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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.