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Finding the Fourth Proportional to 7,687.65, 10,603.74 and 4,699.68

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Solution

The fourth proportional to 7,687.65, 10,603.74 and 4,699.68 is: 6,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.65 : 10,603.74 = 4,699.68 : x
  2. Step 2: Convert to fraction form
    7,687.65/10,603.74 = 4,699.68/x
  3. Step 3: Cross multiply
    7,687.65x = 10,603.74 × 4,699.68
  4. Step 4: Simplify right side
    7,687.65x = 49,834,184.80
  5. Step 5: Solve for x
    x = 49,834,184.80/7,687.65
  6. Step 6: Final answer
    x = 6,482.37

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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.