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Finding the Fourth Proportional to 8,430.16, 12,639 and 4,043.44

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Solution

The fourth proportional to 8,430.16, 12,639 and 4,043.44 is: 6,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.16 : 12,639 = 4,043.44 : x
  2. Step 2: Convert to fraction form
    8,430.16/12,639 = 4,043.44/x
  3. Step 3: Cross multiply
    8,430.16x = 12,639 × 4,043.44
  4. Step 4: Simplify right side
    8,430.16x = 51,105,038.16
  5. Step 5: Solve for x
    x = 51,105,038.16/8,430.16
  6. Step 6: Final answer
    x = 6,062.17

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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.