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Finding the Fourth Proportional to 9,126.42, 13,689.54 and 2,970.42

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Solution

The fourth proportional to 9,126.42, 13,689.54 and 2,970.42 is: 4,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.42 : 13,689.54 = 2,970.42 : x
  2. Step 2: Convert to fraction form
    9,126.42/13,689.54 = 2,970.42/x
  3. Step 3: Cross multiply
    9,126.42x = 13,689.54 × 2,970.42
  4. Step 4: Simplify right side
    9,126.42x = 40,663,683.41
  5. Step 5: Solve for x
    x = 40,663,683.41/9,126.42
  6. Step 6: Final answer
    x = 4,455.60

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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.