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Finding the Fourth Proportional to 9,710.40, 14,576.40 and 6,016.80

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Solution

The fourth proportional to 9,710.40, 14,576.40 and 6,016.80 is: 9,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.40 : 14,576.40 = 6,016.80 : x
  2. Step 2: Convert to fraction form
    9,710.40/14,576.40 = 6,016.80/x
  3. Step 3: Cross multiply
    9,710.40x = 14,576.40 × 6,016.80
  4. Step 4: Simplify right side
    9,710.40x = 87,703,283.52
  5. Step 5: Solve for x
    x = 87,703,283.52/9,710.40
  6. Step 6: Final answer
    x = 9,031.89

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1.5x scale

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.