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Finding the Fourth Proportional to 7,788.60, 10,746.36 and 4,644

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Solution

The fourth proportional to 7,788.60, 10,746.36 and 4,644 is: 6,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.60 : 10,746.36 = 4,644 : x
  2. Step 2: Convert to fraction form
    7,788.60/10,746.36 = 4,644/x
  3. Step 3: Cross multiply
    7,788.60x = 10,746.36 × 4,644
  4. Step 4: Simplify right side
    7,788.60x = 49,906,095.84
  5. Step 5: Solve for x
    x = 49,906,095.84/7,788.60
  6. Step 6: Final answer
    x = 6,407.58

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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.