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Finding the Fourth Proportional to 8,407.50, 11,602.12 and 4,823.06

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Solution

The fourth proportional to 8,407.50, 11,602.12 and 4,823.06 is: 6,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.50 : 11,602.12 = 4,823.06 : x
  2. Step 2: Convert to fraction form
    8,407.50/11,602.12 = 4,823.06/x
  3. Step 3: Cross multiply
    8,407.50x = 11,602.12 × 4,823.06
  4. Step 4: Simplify right side
    8,407.50x = 55,957,725.12
  5. Step 5: Solve for x
    x = 55,957,725.12/8,407.50
  6. Step 6: Final answer
    x = 6,655.69

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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.