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Finding the Fourth Proportional to 7,103.76, 10,655.64 and 1,909.50

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Solution

The fourth proportional to 7,103.76, 10,655.64 and 1,909.50 is: 2,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.76 : 10,655.64 = 1,909.50 : x
  2. Step 2: Convert to fraction form
    7,103.76/10,655.64 = 1,909.50/x
  3. Step 3: Cross multiply
    7,103.76x = 10,655.64 × 1,909.50
  4. Step 4: Simplify right side
    7,103.76x = 20,346,944.58
  5. Step 5: Solve for x
    x = 20,346,944.58/7,103.76
  6. Step 6: Final answer
    x = 2,864.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.