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Finding the Fourth Proportional to 6,547.36, 9,820.32 and 1,930.72

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Solution

The fourth proportional to 6,547.36, 9,820.32 and 1,930.72 is: 2,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.36 : 9,820.32 = 1,930.72 : x
  2. Step 2: Convert to fraction form
    6,547.36/9,820.32 = 1,930.72/x
  3. Step 3: Cross multiply
    6,547.36x = 9,820.32 × 1,930.72
  4. Step 4: Simplify right side
    6,547.36x = 18,960,288.23
  5. Step 5: Solve for x
    x = 18,960,288.23/6,547.36
  6. Step 6: Final answer
    x = 2,895.87

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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.