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Finding the Fourth Proportional to 7,685.60, 10,605.95 and 4,282.65

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Solution

The fourth proportional to 7,685.60, 10,605.95 and 4,282.65 is: 5,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.60 : 10,605.95 = 4,282.65 : x
  2. Step 2: Convert to fraction form
    7,685.60/10,605.95 = 4,282.65/x
  3. Step 3: Cross multiply
    7,685.60x = 10,605.95 × 4,282.65
  4. Step 4: Simplify right side
    7,685.60x = 45,421,601.17
  5. Step 5: Solve for x
    x = 45,421,601.17/7,685.60
  6. Step 6: Final answer
    x = 5,909.96

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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.