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Finding the Fourth Proportional to 10,254, 15,382.08 and 4,706.40

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Solution

The fourth proportional to 10,254, 15,382.08 and 4,706.40 is: 7,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 15,382.08 = 4,706.40 : x
  2. Step 2: Convert to fraction form
    10,254/15,382.08 = 4,706.40/x
  3. Step 3: Cross multiply
    10,254x = 15,382.08 × 4,706.40
  4. Step 4: Simplify right side
    10,254x = 72,394,221.31
  5. Step 5: Solve for x
    x = 72,394,221.31/10,254
  6. Step 6: Final answer
    x = 7,060.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.