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Finding the Fourth Proportional to 7,776.74, 10,725.10 and 5,382.50

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Solution

The fourth proportional to 7,776.74, 10,725.10 and 5,382.50 is: 7,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.74 : 10,725.10 = 5,382.50 : x
  2. Step 2: Convert to fraction form
    7,776.74/10,725.10 = 5,382.50/x
  3. Step 3: Cross multiply
    7,776.74x = 10,725.10 × 5,382.50
  4. Step 4: Simplify right side
    7,776.74x = 57,727,783.67
  5. Step 5: Solve for x
    x = 57,727,783.67/7,776.74
  6. Step 6: Final answer
    x = 7,423.13

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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.