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Finding the Fourth Proportional to 7,783.08, 10,742.95 and 5,425.98

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Solution

The fourth proportional to 7,783.08, 10,742.95 and 5,425.98 is: 7,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.08 : 10,742.95 = 5,425.98 : x
  2. Step 2: Convert to fraction form
    7,783.08/10,742.95 = 5,425.98/x
  3. Step 3: Cross multiply
    7,783.08x = 10,742.95 × 5,425.98
  4. Step 4: Simplify right side
    7,783.08x = 58,290,967.82
  5. Step 5: Solve for x
    x = 58,290,967.82/7,783.08
  6. Step 6: Final answer
    x = 7,489.45

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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.