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Finding the Fourth Proportional to 7,827.65, 10,805.10 and 5,178.68

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Solution

The fourth proportional to 7,827.65, 10,805.10 and 5,178.68 is: 7,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.65 : 10,805.10 = 5,178.68 : x
  2. Step 2: Convert to fraction form
    7,827.65/10,805.10 = 5,178.68/x
  3. Step 3: Cross multiply
    7,827.65x = 10,805.10 × 5,178.68
  4. Step 4: Simplify right side
    7,827.65x = 55,956,155.27
  5. Step 5: Solve for x
    x = 55,956,155.27/7,827.65
  6. Step 6: Final answer
    x = 7,148.53

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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.