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Finding the Fourth Proportional to 9,748.40, 14,606.40 and 9,165.20

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Solution

The fourth proportional to 9,748.40, 14,606.40 and 9,165.20 is: 13,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.40 : 14,606.40 = 9,165.20 : x
  2. Step 2: Convert to fraction form
    9,748.40/14,606.40 = 9,165.20/x
  3. Step 3: Cross multiply
    9,748.40x = 14,606.40 × 9,165.20
  4. Step 4: Simplify right side
    9,748.40x = 133,870,577.28
  5. Step 5: Solve for x
    x = 133,870,577.28/9,748.40
  6. Step 6: Final answer
    x = 13,732.57

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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.