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Finding the Fourth Proportional to 9,913.20, 13,680.21 and 5,437.03

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Solution

The fourth proportional to 9,913.20, 13,680.21 and 5,437.03 is: 7,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.20 : 13,680.21 = 5,437.03 : x
  2. Step 2: Convert to fraction form
    9,913.20/13,680.21 = 5,437.03/x
  3. Step 3: Cross multiply
    9,913.20x = 13,680.21 × 5,437.03
  4. Step 4: Simplify right side
    9,913.20x = 74,379,712.18
  5. Step 5: Solve for x
    x = 74,379,712.18/9,913.20
  6. Step 6: Final answer
    x = 7,503.10

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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.