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Finding the Fourth Proportional to 9,312, 12,858.24 and 8,146.56

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Solution

The fourth proportional to 9,312, 12,858.24 and 8,146.56 is: 11,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 12,858.24 = 8,146.56 : x
  2. Step 2: Convert to fraction form
    9,312/12,858.24 = 8,146.56/x
  3. Step 3: Cross multiply
    9,312x = 12,858.24 × 8,146.56
  4. Step 4: Simplify right side
    9,312x = 104,750,423.65
  5. Step 5: Solve for x
    x = 104,750,423.65/9,312
  6. Step 6: Final answer
    x = 11,248.97

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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.