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Finding the Fourth Proportional to 9,184.80, 13,762.80 and 7,946.40

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Solution

The fourth proportional to 9,184.80, 13,762.80 and 7,946.40 is: 11,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.80 : 13,762.80 = 7,946.40 : x
  2. Step 2: Convert to fraction form
    9,184.80/13,762.80 = 7,946.40/x
  3. Step 3: Cross multiply
    9,184.80x = 13,762.80 × 7,946.40
  4. Step 4: Simplify right side
    9,184.80x = 109,364,713.92
  5. Step 5: Solve for x
    x = 109,364,713.92/9,184.80
  6. Step 6: Final answer
    x = 11,907.14

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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.