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Finding the Fourth Proportional to 10,957.76, 15,083.70 and 9,558.08

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Solution

The fourth proportional to 10,957.76, 15,083.70 and 9,558.08 is: 13,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.76 : 15,083.70 = 9,558.08 : x
  2. Step 2: Convert to fraction form
    10,957.76/15,083.70 = 9,558.08/x
  3. Step 3: Cross multiply
    10,957.76x = 15,083.70 × 9,558.08
  4. Step 4: Simplify right side
    10,957.76x = 144,171,211.30
  5. Step 5: Solve for x
    x = 144,171,211.30/10,957.76
  6. Step 6: Final answer
    x = 13,157.00

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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.