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Finding the Fourth Proportional to 9,884.90, 13,642.43 and 5,637.47

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Solution

The fourth proportional to 9,884.90, 13,642.43 and 5,637.47 is: 7,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.90 : 13,642.43 = 5,637.47 : x
  2. Step 2: Convert to fraction form
    9,884.90/13,642.43 = 5,637.47/x
  3. Step 3: Cross multiply
    9,884.90x = 13,642.43 × 5,637.47
  4. Step 4: Simplify right side
    9,884.90x = 76,908,693.45
  5. Step 5: Solve for x
    x = 76,908,693.45/9,884.90
  6. Step 6: Final answer
    x = 7,780.42

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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.