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Finding the Fourth Proportional to 6,499.82, 8,970.99 and 4,263.68

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Solution

The fourth proportional to 6,499.82, 8,970.99 and 4,263.68 is: 5,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.82 : 8,970.99 = 4,263.68 : x
  2. Step 2: Convert to fraction form
    6,499.82/8,970.99 = 4,263.68/x
  3. Step 3: Cross multiply
    6,499.82x = 8,970.99 × 4,263.68
  4. Step 4: Simplify right side
    6,499.82x = 38,249,430.64
  5. Step 5: Solve for x
    x = 38,249,430.64/6,499.82
  6. Step 6: Final answer
    x = 5,884.69

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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.