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Finding the Fourth Proportional to 7,782, 10,740.06 and 4,425.32

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Solution

The fourth proportional to 7,782, 10,740.06 and 4,425.32 is: 6,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 10,740.06 = 4,425.32 : x
  2. Step 2: Convert to fraction form
    7,782/10,740.06 = 4,425.32/x
  3. Step 3: Cross multiply
    7,782x = 10,740.06 × 4,425.32
  4. Step 4: Simplify right side
    7,782x = 47,528,148.62
  5. Step 5: Solve for x
    x = 47,528,148.62/7,782
  6. Step 6: Final answer
    x = 6,107.45

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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.