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Finding the Fourth Proportional to 9,100.10, 12,569.73 and 6,962.61

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Solution

The fourth proportional to 9,100.10, 12,569.73 and 6,962.61 is: 9,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.10 : 12,569.73 = 6,962.61 : x
  2. Step 2: Convert to fraction form
    9,100.10/12,569.73 = 6,962.61/x
  3. Step 3: Cross multiply
    9,100.10x = 12,569.73 × 6,962.61
  4. Step 4: Simplify right side
    9,100.10x = 87,518,117.28
  5. Step 5: Solve for x
    x = 87,518,117.28/9,100.10
  6. Step 6: Final answer
    x = 9,617.27

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