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Finding the Fourth Proportional to 8,347.29, 12,460.02 and 7,730.61

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Solution

The fourth proportional to 8,347.29, 12,460.02 and 7,730.61 is: 11,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.29 : 12,460.02 = 7,730.61 : x
  2. Step 2: Convert to fraction form
    8,347.29/12,460.02 = 7,730.61/x
  3. Step 3: Cross multiply
    8,347.29x = 12,460.02 × 7,730.61
  4. Step 4: Simplify right side
    8,347.29x = 96,323,555.21
  5. Step 5: Solve for x
    x = 96,323,555.21/8,347.29
  6. Step 6: Final answer
    x = 11,539.50

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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.