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Finding the Fourth Proportional to 8,731.68, 12,038.16 and 7,234.08

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Solution

The fourth proportional to 8,731.68, 12,038.16 and 7,234.08 is: 9,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.68 : 12,038.16 = 7,234.08 : x
  2. Step 2: Convert to fraction form
    8,731.68/12,038.16 = 7,234.08/x
  3. Step 3: Cross multiply
    8,731.68x = 12,038.16 × 7,234.08
  4. Step 4: Simplify right side
    8,731.68x = 87,085,012.49
  5. Step 5: Solve for x
    x = 87,085,012.49/8,731.68
  6. Step 6: Final answer
    x = 9,973.45

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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.