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Finding the Fourth Proportional to 9,160, 12,640.80 and 4,968.26

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Solution

The fourth proportional to 9,160, 12,640.80 and 4,968.26 is: 6,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160 : 12,640.80 = 4,968.26 : x
  2. Step 2: Convert to fraction form
    9,160/12,640.80 = 4,968.26/x
  3. Step 3: Cross multiply
    9,160x = 12,640.80 × 4,968.26
  4. Step 4: Simplify right side
    9,160x = 62,802,781.01
  5. Step 5: Solve for x
    x = 62,802,781.01/9,160
  6. Step 6: Final answer
    x = 6,856.20

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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.