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Finding the Fourth Proportional to 9,428.71, 13,012.12 and 5,652.49

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Solution

The fourth proportional to 9,428.71, 13,012.12 and 5,652.49 is: 7,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.71 : 13,012.12 = 5,652.49 : x
  2. Step 2: Convert to fraction form
    9,428.71/13,012.12 = 5,652.49/x
  3. Step 3: Cross multiply
    9,428.71x = 13,012.12 × 5,652.49
  4. Step 4: Simplify right side
    9,428.71x = 73,550,852.71
  5. Step 5: Solve for x
    x = 73,550,852.71/9,428.71
  6. Step 6: Final answer
    x = 7,800.74

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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.