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Finding the Fourth Proportional to 8,547.28, 12,821.64 and 2,703.76

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Solution

The fourth proportional to 8,547.28, 12,821.64 and 2,703.76 is: 4,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.28 : 12,821.64 = 2,703.76 : x
  2. Step 2: Convert to fraction form
    8,547.28/12,821.64 = 2,703.76/x
  3. Step 3: Cross multiply
    8,547.28x = 12,821.64 × 2,703.76
  4. Step 4: Simplify right side
    8,547.28x = 34,666,637.37
  5. Step 5: Solve for x
    x = 34,666,637.37/8,547.28
  6. Step 6: Final answer
    x = 4,055.87

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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.