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Finding the Fourth Proportional to 10,460.50, 15,689.60 and 3,065.03

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Solution

The fourth proportional to 10,460.50, 15,689.60 and 3,065.03 is: 4,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.50 : 15,689.60 = 3,065.03 : x
  2. Step 2: Convert to fraction form
    10,460.50/15,689.60 = 3,065.03/x
  3. Step 3: Cross multiply
    10,460.50x = 15,689.60 × 3,065.03
  4. Step 4: Simplify right side
    10,460.50x = 48,089,071.24
  5. Step 5: Solve for x
    x = 48,089,071.24/10,460.50
  6. Step 6: Final answer
    x = 4,597.21

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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.