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Finding the Fourth Proportional to 9,322.10, 12,866.34 and 5,345.90

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Solution

The fourth proportional to 9,322.10, 12,866.34 and 5,345.90 is: 7,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.10 : 12,866.34 = 5,345.90 : x
  2. Step 2: Convert to fraction form
    9,322.10/12,866.34 = 5,345.90/x
  3. Step 3: Cross multiply
    9,322.10x = 12,866.34 × 5,345.90
  4. Step 4: Simplify right side
    9,322.10x = 68,782,167.01
  5. Step 5: Solve for x
    x = 68,782,167.01/9,322.10
  6. Step 6: Final answer
    x = 7,378.40

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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.