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Finding the Fourth Proportional to 10,302.65, 14,205.12 and 8,706.41

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Solution

The fourth proportional to 10,302.65, 14,205.12 and 8,706.41 is: 12,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.65 : 14,205.12 = 8,706.41 : x
  2. Step 2: Convert to fraction form
    10,302.65/14,205.12 = 8,706.41/x
  3. Step 3: Cross multiply
    10,302.65x = 14,205.12 × 8,706.41
  4. Step 4: Simplify right side
    10,302.65x = 123,675,598.82
  5. Step 5: Solve for x
    x = 123,675,598.82/10,302.65
  6. Step 6: Final answer
    x = 12,004.25

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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.