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Finding the Fourth Proportional to 8,390.44, 12,587.48 and 2,547.48

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Solution

The fourth proportional to 8,390.44, 12,587.48 and 2,547.48 is: 3,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.44 : 12,587.48 = 2,547.48 : x
  2. Step 2: Convert to fraction form
    8,390.44/12,587.48 = 2,547.48/x
  3. Step 3: Cross multiply
    8,390.44x = 12,587.48 × 2,547.48
  4. Step 4: Simplify right side
    8,390.44x = 32,066,353.55
  5. Step 5: Solve for x
    x = 32,066,353.55/8,390.44
  6. Step 6: Final answer
    x = 3,821.77

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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.