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Finding the Fourth Proportional to 10,689.91, 16,038.10 and 7,575.94

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Solution

The fourth proportional to 10,689.91, 16,038.10 and 7,575.94 is: 11,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.91 : 16,038.10 = 7,575.94 : x
  2. Step 2: Convert to fraction form
    10,689.91/16,038.10 = 7,575.94/x
  3. Step 3: Cross multiply
    10,689.91x = 16,038.10 × 7,575.94
  4. Step 4: Simplify right side
    10,689.91x = 121,503,683.31
  5. Step 5: Solve for x
    x = 121,503,683.31/10,689.91
  6. Step 6: Final answer
    x = 11,366.20

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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.