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Finding the Fourth Proportional to 9,821.91, 13,554.10 and 5,405.91

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Solution

The fourth proportional to 9,821.91, 13,554.10 and 5,405.91 is: 7,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.91 : 13,554.10 = 5,405.91 : x
  2. Step 2: Convert to fraction form
    9,821.91/13,554.10 = 5,405.91/x
  3. Step 3: Cross multiply
    9,821.91x = 13,554.10 × 5,405.91
  4. Step 4: Simplify right side
    9,821.91x = 73,272,217.70
  5. Step 5: Solve for x
    x = 73,272,217.70/9,821.91
  6. Step 6: Final answer
    x = 7,460.08

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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.