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Finding the Fourth Proportional to 12,320, 17,002.08 and 7,015.76

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Solution

The fourth proportional to 12,320, 17,002.08 and 7,015.76 is: 9,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320 : 17,002.08 = 7,015.76 : x
  2. Step 2: Convert to fraction form
    12,320/17,002.08 = 7,015.76/x
  3. Step 3: Cross multiply
    12,320x = 17,002.08 × 7,015.76
  4. Step 4: Simplify right side
    12,320x = 119,282,512.78
  5. Step 5: Solve for x
    x = 119,282,512.78/12,320
  6. Step 6: Final answer
    x = 9,682.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.