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Finding the Fourth Proportional to 8,582.88, 12,854.40 and 7,319.76

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Solution

The fourth proportional to 8,582.88, 12,854.40 and 7,319.76 is: 10,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.88 : 12,854.40 = 7,319.76 : x
  2. Step 2: Convert to fraction form
    8,582.88/12,854.40 = 7,319.76/x
  3. Step 3: Cross multiply
    8,582.88x = 12,854.40 × 7,319.76
  4. Step 4: Simplify right side
    8,582.88x = 94,091,122.94
  5. Step 5: Solve for x
    x = 94,091,122.94/8,582.88
  6. Step 6: Final answer
    x = 10,962.65

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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.