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Finding the Fourth Proportional to 7,818, 10,789.16 and 4,506

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Solution

The fourth proportional to 7,818, 10,789.16 and 4,506 is: 6,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818 : 10,789.16 = 4,506 : x
  2. Step 2: Convert to fraction form
    7,818/10,789.16 = 4,506/x
  3. Step 3: Cross multiply
    7,818x = 10,789.16 × 4,506
  4. Step 4: Simplify right side
    7,818x = 48,615,954.96
  5. Step 5: Solve for x
    x = 48,615,954.96/7,818
  6. Step 6: Final answer
    x = 6,218.46

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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.