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Finding the Fourth Proportional to 9,165.40, 12,840.20 and 9,165.40

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Solution

The fourth proportional to 9,165.40, 12,840.20 and 9,165.40 is: 12,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.40 : 12,840.20 = 9,165.40 : x
  2. Step 2: Convert to fraction form
    9,165.40/12,840.20 = 9,165.40/x
  3. Step 3: Cross multiply
    9,165.40x = 12,840.20 × 9,165.40
  4. Step 4: Simplify right side
    9,165.40x = 117,685,569.08
  5. Step 5: Solve for x
    x = 117,685,569.08/9,165.40
  6. Step 6: Final answer
    x = 12,840.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.