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Finding the Fourth Proportional to 9,913.17, 13,680.59 and 5,437.09

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Solution

The fourth proportional to 9,913.17, 13,680.59 and 5,437.09 is: 7,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.17 : 13,680.59 = 5,437.09 : x
  2. Step 2: Convert to fraction form
    9,913.17/13,680.59 = 5,437.09/x
  3. Step 3: Cross multiply
    9,913.17x = 13,680.59 × 5,437.09
  4. Step 4: Simplify right side
    9,913.17x = 74,382,599.08
  5. Step 5: Solve for x
    x = 74,382,599.08/9,913.17
  6. Step 6: Final answer
    x = 7,503.41

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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.