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Finding the Fourth Proportional to 8,390.34, 12,585.55 and 2,547

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Solution

The fourth proportional to 8,390.34, 12,585.55 and 2,547 is: 3,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.34 : 12,585.55 = 2,547 : x
  2. Step 2: Convert to fraction form
    8,390.34/12,585.55 = 2,547/x
  3. Step 3: Cross multiply
    8,390.34x = 12,585.55 × 2,547
  4. Step 4: Simplify right side
    8,390.34x = 32,055,395.85
  5. Step 5: Solve for x
    x = 32,055,395.85/8,390.34
  6. Step 6: Final answer
    x = 3,820.51

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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.