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Finding the Fourth Proportional to 9,689.64, 14,535.93 and 4,143

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Solution

The fourth proportional to 9,689.64, 14,535.93 and 4,143 is: 6,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.64 : 14,535.93 = 4,143 : x
  2. Step 2: Convert to fraction form
    9,689.64/14,535.93 = 4,143/x
  3. Step 3: Cross multiply
    9,689.64x = 14,535.93 × 4,143
  4. Step 4: Simplify right side
    9,689.64x = 60,222,357.99
  5. Step 5: Solve for x
    x = 60,222,357.99/9,689.64
  6. Step 6: Final answer
    x = 6,215.13

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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.