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Finding the Fourth Proportional to 8,547.69, 12,823.16 and 2,705.16

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Solution

The fourth proportional to 8,547.69, 12,823.16 and 2,705.16 is: 4,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.69 : 12,823.16 = 2,705.16 : x
  2. Step 2: Convert to fraction form
    8,547.69/12,823.16 = 2,705.16/x
  3. Step 3: Cross multiply
    8,547.69x = 12,823.16 × 2,705.16
  4. Step 4: Simplify right side
    8,547.69x = 34,688,685.98
  5. Step 5: Solve for x
    x = 34,688,685.98/8,547.69
  6. Step 6: Final answer
    x = 4,058.25

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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.