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Finding the Fourth Proportional to 10,458.81, 15,688.58 and 4,912.11

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Solution

The fourth proportional to 10,458.81, 15,688.58 and 4,912.11 is: 7,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.81 : 15,688.58 = 4,912.11 : x
  2. Step 2: Convert to fraction form
    10,458.81/15,688.58 = 4,912.11/x
  3. Step 3: Cross multiply
    10,458.81x = 15,688.58 × 4,912.11
  4. Step 4: Simplify right side
    10,458.81x = 77,064,006.14
  5. Step 5: Solve for x
    x = 77,064,006.14/10,458.81
  6. Step 6: Final answer
    x = 7,368.33

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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.