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Finding the Fourth Proportional to 8,547.78, 12,813.47 and 2,700.39

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Solution

The fourth proportional to 8,547.78, 12,813.47 and 2,700.39 is: 4,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.78 : 12,813.47 = 2,700.39 : x
  2. Step 2: Convert to fraction form
    8,547.78/12,813.47 = 2,700.39/x
  3. Step 3: Cross multiply
    8,547.78x = 12,813.47 × 2,700.39
  4. Step 4: Simplify right side
    8,547.78x = 34,601,352.75
  5. Step 5: Solve for x
    x = 34,601,352.75/8,547.78
  6. Step 6: Final answer
    x = 4,047.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.