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Finding the Fourth Proportional to 8,764.90, 12,095.84 and 5,407.63

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Solution

The fourth proportional to 8,764.90, 12,095.84 and 5,407.63 is: 7,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.90 : 12,095.84 = 5,407.63 : x
  2. Step 2: Convert to fraction form
    8,764.90/12,095.84 = 5,407.63/x
  3. Step 3: Cross multiply
    8,764.90x = 12,095.84 × 5,407.63
  4. Step 4: Simplify right side
    8,764.90x = 65,409,810.54
  5. Step 5: Solve for x
    x = 65,409,810.54/8,764.90
  6. Step 6: Final answer
    x = 7,462.70

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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.