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Finding the Fourth Proportional to 11,970.20, 17,956.08 and 9,774.20

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Solution

The fourth proportional to 11,970.20, 17,956.08 and 9,774.20 is: 14,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.20 : 17,956.08 = 9,774.20 : x
  2. Step 2: Convert to fraction form
    11,970.20/17,956.08 = 9,774.20/x
  3. Step 3: Cross multiply
    11,970.20x = 17,956.08 × 9,774.20
  4. Step 4: Simplify right side
    11,970.20x = 175,506,317.14
  5. Step 5: Solve for x
    x = 175,506,317.14/11,970.20
  6. Step 6: Final answer
    x = 14,661.94

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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.