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Finding the Fourth Proportional to 9,114, 12,572.28 and 6,124.56

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Solution

The fourth proportional to 9,114, 12,572.28 and 6,124.56 is: 8,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114 : 12,572.28 = 6,124.56 : x
  2. Step 2: Convert to fraction form
    9,114/12,572.28 = 6,124.56/x
  3. Step 3: Cross multiply
    9,114x = 12,572.28 × 6,124.56
  4. Step 4: Simplify right side
    9,114x = 76,999,683.20
  5. Step 5: Solve for x
    x = 76,999,683.20/9,114
  6. Step 6: Final answer
    x = 8,448.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.