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Finding the Fourth Proportional to 8,547.40, 12,822.30 and 2,703.40

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Solution

The fourth proportional to 8,547.40, 12,822.30 and 2,703.40 is: 4,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.40 : 12,822.30 = 2,703.40 : x
  2. Step 2: Convert to fraction form
    8,547.40/12,822.30 = 2,703.40/x
  3. Step 3: Cross multiply
    8,547.40x = 12,822.30 × 2,703.40
  4. Step 4: Simplify right side
    8,547.40x = 34,663,805.82
  5. Step 5: Solve for x
    x = 34,663,805.82/8,547.40
  6. Step 6: Final answer
    x = 4,055.48

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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.