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Finding the Fourth Proportional to 9,988, 13,783.44 and 5,572

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Solution

The fourth proportional to 9,988, 13,783.44 and 5,572 is: 7,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988 : 13,783.44 = 5,572 : x
  2. Step 2: Convert to fraction form
    9,988/13,783.44 = 5,572/x
  3. Step 3: Cross multiply
    9,988x = 13,783.44 × 5,572
  4. Step 4: Simplify right side
    9,988x = 76,801,327.68
  5. Step 5: Solve for x
    x = 76,801,327.68/9,988
  6. Step 6: Final answer
    x = 7,689.36

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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.