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Finding the Fourth Proportional to 9,907.30, 13,672.02 and 5,431.24

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Solution

The fourth proportional to 9,907.30, 13,672.02 and 5,431.24 is: 7,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.30 : 13,672.02 = 5,431.24 : x
  2. Step 2: Convert to fraction form
    9,907.30/13,672.02 = 5,431.24/x
  3. Step 3: Cross multiply
    9,907.30x = 13,672.02 × 5,431.24
  4. Step 4: Simplify right side
    9,907.30x = 74,256,021.90
  5. Step 5: Solve for x
    x = 74,256,021.90/9,907.30
  6. Step 6: Final answer
    x = 7,495.08

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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.