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Finding the Fourth Proportional to 10,510.50, 14,525.40 and 8,619.12

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Solution

The fourth proportional to 10,510.50, 14,525.40 and 8,619.12 is: 11,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.50 : 14,525.40 = 8,619.12 : x
  2. Step 2: Convert to fraction form
    10,510.50/14,525.40 = 8,619.12/x
  3. Step 3: Cross multiply
    10,510.50x = 14,525.40 × 8,619.12
  4. Step 4: Simplify right side
    10,510.50x = 125,196,165.65
  5. Step 5: Solve for x
    x = 125,196,165.65/10,510.50
  6. Step 6: Final answer
    x = 11,911.53

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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.