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Finding the Fourth Proportional to 8,547.81, 12,820.43 and 2,703.66

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Solution

The fourth proportional to 8,547.81, 12,820.43 and 2,703.66 is: 4,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.81 : 12,820.43 = 2,703.66 : x
  2. Step 2: Convert to fraction form
    8,547.81/12,820.43 = 2,703.66/x
  3. Step 3: Cross multiply
    8,547.81x = 12,820.43 × 2,703.66
  4. Step 4: Simplify right side
    8,547.81x = 34,662,027.25
  5. Step 5: Solve for x
    x = 34,662,027.25/8,547.81
  6. Step 6: Final answer
    x = 4,055.08

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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.