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Finding the Fourth Proportional to 9,879.78, 13,634.13 and 5,688

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Solution

The fourth proportional to 9,879.78, 13,634.13 and 5,688 is: 7,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.78 : 13,634.13 = 5,688 : x
  2. Step 2: Convert to fraction form
    9,879.78/13,634.13 = 5,688/x
  3. Step 3: Cross multiply
    9,879.78x = 13,634.13 × 5,688
  4. Step 4: Simplify right side
    9,879.78x = 77,550,931.44
  5. Step 5: Solve for x
    x = 77,550,931.44/9,879.78
  6. Step 6: Final answer
    x = 7,849.46

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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.