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Finding the Fourth Proportional to 9,888.70, 13,646.41 and 5,412.45

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Solution

The fourth proportional to 9,888.70, 13,646.41 and 5,412.45 is: 7,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.70 : 13,646.41 = 5,412.45 : x
  2. Step 2: Convert to fraction form
    9,888.70/13,646.41 = 5,412.45/x
  3. Step 3: Cross multiply
    9,888.70x = 13,646.41 × 5,412.45
  4. Step 4: Simplify right side
    9,888.70x = 73,860,511.80
  5. Step 5: Solve for x
    x = 73,860,511.80/9,888.70
  6. Step 6: Final answer
    x = 7,469.18

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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.