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Finding the Fourth Proportional to 9,712.32, 13,400.99 and 5,678.37

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Solution

The fourth proportional to 9,712.32, 13,400.99 and 5,678.37 is: 7,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.32 : 13,400.99 = 5,678.37 : x
  2. Step 2: Convert to fraction form
    9,712.32/13,400.99 = 5,678.37/x
  3. Step 3: Cross multiply
    9,712.32x = 13,400.99 × 5,678.37
  4. Step 4: Simplify right side
    9,712.32x = 76,095,779.59
  5. Step 5: Solve for x
    x = 76,095,779.59/9,712.32
  6. Step 6: Final answer
    x = 7,834.97

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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.