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Finding the Fourth Proportional to 9,421.75, 13,000.50 and 5,442.10

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Solution

The fourth proportional to 9,421.75, 13,000.50 and 5,442.10 is: 7,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.75 : 13,000.50 = 5,442.10 : x
  2. Step 2: Convert to fraction form
    9,421.75/13,000.50 = 5,442.10/x
  3. Step 3: Cross multiply
    9,421.75x = 13,000.50 × 5,442.10
  4. Step 4: Simplify right side
    9,421.75x = 70,750,021.05
  5. Step 5: Solve for x
    x = 70,750,021.05/9,421.75
  6. Step 6: Final answer
    x = 7,509.22

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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.