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Finding the Fourth Proportional to 9,317.60, 12,858.18 and 6,938.21

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Solution

The fourth proportional to 9,317.60, 12,858.18 and 6,938.21 is: 9,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.60 : 12,858.18 = 6,938.21 : x
  2. Step 2: Convert to fraction form
    9,317.60/12,858.18 = 6,938.21/x
  3. Step 3: Cross multiply
    9,317.60x = 12,858.18 × 6,938.21
  4. Step 4: Simplify right side
    9,317.60x = 89,212,785.20
  5. Step 5: Solve for x
    x = 89,212,785.20/9,317.60
  6. Step 6: Final answer
    x = 9,574.66

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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.