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Finding the Fourth Proportional to 9,612, 14,418.95 and 2,686.50

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Solution

The fourth proportional to 9,612, 14,418.95 and 2,686.50 is: 4,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 14,418.95 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    9,612/14,418.95 = 2,686.50/x
  3. Step 3: Cross multiply
    9,612x = 14,418.95 × 2,686.50
  4. Step 4: Simplify right side
    9,612x = 38,736,509.18
  5. Step 5: Solve for x
    x = 38,736,509.18/9,612
  6. Step 6: Final answer
    x = 4,030.02

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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.