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Finding the Fourth Proportional to 7,038.95, 9,689.09 and 6,374.65

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Solution

The fourth proportional to 7,038.95, 9,689.09 and 6,374.65 is: 8,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.95 : 9,689.09 = 6,374.65 : x
  2. Step 2: Convert to fraction form
    7,038.95/9,689.09 = 6,374.65/x
  3. Step 3: Cross multiply
    7,038.95x = 9,689.09 × 6,374.65
  4. Step 4: Simplify right side
    7,038.95x = 61,764,573.43
  5. Step 5: Solve for x
    x = 61,764,573.43/7,038.95
  6. Step 6: Final answer
    x = 8,774.68

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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.