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Finding the Fourth Proportional to 6,111, 8,411.76 and 5,323.68

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Solution

The fourth proportional to 6,111, 8,411.76 and 5,323.68 is: 7,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111 : 8,411.76 = 5,323.68 : x
  2. Step 2: Convert to fraction form
    6,111/8,411.76 = 5,323.68/x
  3. Step 3: Cross multiply
    6,111x = 8,411.76 × 5,323.68
  4. Step 4: Simplify right side
    6,111x = 44,781,518.48
  5. Step 5: Solve for x
    x = 44,781,518.48/6,111
  6. Step 6: Final answer
    x = 7,328.02

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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.