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Finding the Fourth Proportional to 8,281.78, 12,420.15 and 2,359.15

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Solution

The fourth proportional to 8,281.78, 12,420.15 and 2,359.15 is: 3,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.78 : 12,420.15 = 2,359.15 : x
  2. Step 2: Convert to fraction form
    8,281.78/12,420.15 = 2,359.15/x
  3. Step 3: Cross multiply
    8,281.78x = 12,420.15 × 2,359.15
  4. Step 4: Simplify right side
    8,281.78x = 29,301,026.84
  5. Step 5: Solve for x
    x = 29,301,026.84/8,281.78
  6. Step 6: Final answer
    x = 3,538.01

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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.