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Finding the Fourth Proportional to 10,739.30, 14,813.41 and 7,759.51

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Solution

The fourth proportional to 10,739.30, 14,813.41 and 7,759.51 is: 10,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.30 : 14,813.41 = 7,759.51 : x
  2. Step 2: Convert to fraction form
    10,739.30/14,813.41 = 7,759.51/x
  3. Step 3: Cross multiply
    10,739.30x = 14,813.41 × 7,759.51
  4. Step 4: Simplify right side
    10,739.30x = 114,944,690.16
  5. Step 5: Solve for x
    x = 114,944,690.16/10,739.30
  6. Step 6: Final answer
    x = 10,703.19

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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.