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Finding the Fourth Proportional to 8,415.30, 12,598.65 and 7,443.30

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Solution

The fourth proportional to 8,415.30, 12,598.65 and 7,443.30 is: 11,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.30 : 12,598.65 = 7,443.30 : x
  2. Step 2: Convert to fraction form
    8,415.30/12,598.65 = 7,443.30/x
  3. Step 3: Cross multiply
    8,415.30x = 12,598.65 × 7,443.30
  4. Step 4: Simplify right side
    8,415.30x = 93,775,531.55
  5. Step 5: Solve for x
    x = 93,775,531.55/8,415.30
  6. Step 6: Final answer
    x = 11,143.46

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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.