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Finding the Fourth Proportional to 9,338.16, 13,934.40 and 8,510.16

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Solution

The fourth proportional to 9,338.16, 13,934.40 and 8,510.16 is: 12,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.16 : 13,934.40 = 8,510.16 : x
  2. Step 2: Convert to fraction form
    9,338.16/13,934.40 = 8,510.16/x
  3. Step 3: Cross multiply
    9,338.16x = 13,934.40 × 8,510.16
  4. Step 4: Simplify right side
    9,338.16x = 118,583,973.50
  5. Step 5: Solve for x
    x = 118,583,973.50/9,338.16
  6. Step 6: Final answer
    x = 12,698.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.