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Finding the Fourth Proportional to 9,380.96, 12,938.51 and 6,547.43

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Solution

The fourth proportional to 9,380.96, 12,938.51 and 6,547.43 is: 9,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.96 : 12,938.51 = 6,547.43 : x
  2. Step 2: Convert to fraction form
    9,380.96/12,938.51 = 6,547.43/x
  3. Step 3: Cross multiply
    9,380.96x = 12,938.51 × 6,547.43
  4. Step 4: Simplify right side
    9,380.96x = 84,713,891.10
  5. Step 5: Solve for x
    x = 84,713,891.10/9,380.96
  6. Step 6: Final answer
    x = 9,030.41

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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.