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Finding the Fourth Proportional to 8,537.46, 12,807.36 and 2,989.50

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Solution

The fourth proportional to 8,537.46, 12,807.36 and 2,989.50 is: 4,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.46 : 12,807.36 = 2,989.50 : x
  2. Step 2: Convert to fraction form
    8,537.46/12,807.36 = 2,989.50/x
  3. Step 3: Cross multiply
    8,537.46x = 12,807.36 × 2,989.50
  4. Step 4: Simplify right side
    8,537.46x = 38,287,602.72
  5. Step 5: Solve for x
    x = 38,287,602.72/8,537.46
  6. Step 6: Final answer
    x = 4,484.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.