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Finding the Fourth Proportional to 10,510.40, 14,503.64 and 6,033.54

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Solution

The fourth proportional to 10,510.40, 14,503.64 and 6,033.54 is: 8,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.40 : 14,503.64 = 6,033.54 : x
  2. Step 2: Convert to fraction form
    10,510.40/14,503.64 = 6,033.54/x
  3. Step 3: Cross multiply
    10,510.40x = 14,503.64 × 6,033.54
  4. Step 4: Simplify right side
    10,510.40x = 87,508,292.09
  5. Step 5: Solve for x
    x = 87,508,292.09/10,510.40
  6. Step 6: Final answer
    x = 8,325.88

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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.