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Finding the Fourth Proportional to 11,970.78, 17,931.69 and 9,757.50

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Solution

The fourth proportional to 11,970.78, 17,931.69 and 9,757.50 is: 14,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.78 : 17,931.69 = 9,757.50 : x
  2. Step 2: Convert to fraction form
    11,970.78/17,931.69 = 9,757.50/x
  3. Step 3: Cross multiply
    11,970.78x = 17,931.69 × 9,757.50
  4. Step 4: Simplify right side
    11,970.78x = 174,968,465.18
  5. Step 5: Solve for x
    x = 174,968,465.18/11,970.78
  6. Step 6: Final answer
    x = 14,616.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.