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Finding the Fourth Proportional to 8,582.79, 12,805.06 and 7,647.15

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Solution

The fourth proportional to 8,582.79, 12,805.06 and 7,647.15 is: 11,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.79 : 12,805.06 = 7,647.15 : x
  2. Step 2: Convert to fraction form
    8,582.79/12,805.06 = 7,647.15/x
  3. Step 3: Cross multiply
    8,582.79x = 12,805.06 × 7,647.15
  4. Step 4: Simplify right side
    8,582.79x = 97,922,195.46
  5. Step 5: Solve for x
    x = 97,922,195.46/8,582.79
  6. Step 6: Final answer
    x = 11,409.13

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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.