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Finding the Fourth Proportional to 7,038, 9,712.45 and 3,894.40

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Solution

The fourth proportional to 7,038, 9,712.45 and 3,894.40 is: 5,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038 : 9,712.45 = 3,894.40 : x
  2. Step 2: Convert to fraction form
    7,038/9,712.45 = 3,894.40/x
  3. Step 3: Cross multiply
    7,038x = 9,712.45 × 3,894.40
  4. Step 4: Simplify right side
    7,038x = 37,824,165.28
  5. Step 5: Solve for x
    x = 37,824,165.28/7,038
  6. Step 6: Final answer
    x = 5,374.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.