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Finding the Fourth Proportional to 7,159, 10,725.99 and 4,969.12

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Solution

The fourth proportional to 7,159, 10,725.99 and 4,969.12 is: 7,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159 : 10,725.99 = 4,969.12 : x
  2. Step 2: Convert to fraction form
    7,159/10,725.99 = 4,969.12/x
  3. Step 3: Cross multiply
    7,159x = 10,725.99 × 4,969.12
  4. Step 4: Simplify right side
    7,159x = 53,298,731.43
  5. Step 5: Solve for x
    x = 53,298,731.43/7,159
  6. Step 6: Final answer
    x = 7,445.00

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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.