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Finding the Fourth Proportional to 6,615.84, 9,129.36 and 4,382.16

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Solution

The fourth proportional to 6,615.84, 9,129.36 and 4,382.16 is: 6,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.84 : 9,129.36 = 4,382.16 : x
  2. Step 2: Convert to fraction form
    6,615.84/9,129.36 = 4,382.16/x
  3. Step 3: Cross multiply
    6,615.84x = 9,129.36 × 4,382.16
  4. Step 4: Simplify right side
    6,615.84x = 40,006,316.22
  5. Step 5: Solve for x
    x = 40,006,316.22/6,615.84
  6. Step 6: Final answer
    x = 6,047.05

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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.