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Finding the Fourth Proportional to 8,365.84, 12,541.08 and 2,890

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Solution

The fourth proportional to 8,365.84, 12,541.08 and 2,890 is: 4,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.84 : 12,541.08 = 2,890 : x
  2. Step 2: Convert to fraction form
    8,365.84/12,541.08 = 2,890/x
  3. Step 3: Cross multiply
    8,365.84x = 12,541.08 × 2,890
  4. Step 4: Simplify right side
    8,365.84x = 36,243,721.20
  5. Step 5: Solve for x
    x = 36,243,721.20/8,365.84
  6. Step 6: Final answer
    x = 4,332.35

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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.