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Finding the Fourth Proportional to 7,098.92, 9,787.40 and 5,818.08

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Solution

The fourth proportional to 7,098.92, 9,787.40 and 5,818.08 is: 8,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.92 : 9,787.40 = 5,818.08 : x
  2. Step 2: Convert to fraction form
    7,098.92/9,787.40 = 5,818.08/x
  3. Step 3: Cross multiply
    7,098.92x = 9,787.40 × 5,818.08
  4. Step 4: Simplify right side
    7,098.92x = 56,943,890.74
  5. Step 5: Solve for x
    x = 56,943,890.74/7,098.92
  6. Step 6: Final answer
    x = 8,021.49

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1.5x scale

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.