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Finding the Fourth Proportional to 11,531.63, 15,907.02 and 7,281.18

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Solution

The fourth proportional to 11,531.63, 15,907.02 and 7,281.18 is: 10,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.63 : 15,907.02 = 7,281.18 : x
  2. Step 2: Convert to fraction form
    11,531.63/15,907.02 = 7,281.18/x
  3. Step 3: Cross multiply
    11,531.63x = 15,907.02 × 7,281.18
  4. Step 4: Simplify right side
    11,531.63x = 115,821,875.88
  5. Step 5: Solve for x
    x = 115,821,875.88/11,531.63
  6. Step 6: Final answer
    x = 10,043.84

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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.