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Finding the Fourth Proportional to 9,421.16, 12,993.77 and 8,345.58

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Solution

The fourth proportional to 9,421.16, 12,993.77 and 8,345.58 is: 11,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.16 : 12,993.77 = 8,345.58 : x
  2. Step 2: Convert to fraction form
    9,421.16/12,993.77 = 8,345.58/x
  3. Step 3: Cross multiply
    9,421.16x = 12,993.77 × 8,345.58
  4. Step 4: Simplify right side
    9,421.16x = 108,440,519.17
  5. Step 5: Solve for x
    x = 108,440,519.17/9,421.16
  6. Step 6: Final answer
    x = 11,510.32

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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.