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Finding the Fourth Proportional to 8,160.32, 12,130.46 and 7,920.86

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Solution

The fourth proportional to 8,160.32, 12,130.46 and 7,920.86 is: 11,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.32 : 12,130.46 = 7,920.86 : x
  2. Step 2: Convert to fraction form
    8,160.32/12,130.46 = 7,920.86/x
  3. Step 3: Cross multiply
    8,160.32x = 12,130.46 × 7,920.86
  4. Step 4: Simplify right side
    8,160.32x = 96,083,675.40
  5. Step 5: Solve for x
    x = 96,083,675.40/8,160.32
  6. Step 6: Final answer
    x = 11,774.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.