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Finding the Fourth Proportional to 10,655.93, 15,980.66 and 3,728.81

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Solution

The fourth proportional to 10,655.93, 15,980.66 and 3,728.81 is: 5,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.93 : 15,980.66 = 3,728.81 : x
  2. Step 2: Convert to fraction form
    10,655.93/15,980.66 = 3,728.81/x
  3. Step 3: Cross multiply
    10,655.93x = 15,980.66 × 3,728.81
  4. Step 4: Simplify right side
    10,655.93x = 59,588,880.11
  5. Step 5: Solve for x
    x = 59,588,880.11/10,655.93
  6. Step 6: Final answer
    x = 5,592.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.