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Finding the Fourth Proportional to 9,965.70, 14,930.10 and 5,807.70

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Solution

The fourth proportional to 9,965.70, 14,930.10 and 5,807.70 is: 8,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.70 : 14,930.10 = 5,807.70 : x
  2. Step 2: Convert to fraction form
    9,965.70/14,930.10 = 5,807.70/x
  3. Step 3: Cross multiply
    9,965.70x = 14,930.10 × 5,807.70
  4. Step 4: Simplify right side
    9,965.70x = 86,709,541.77
  5. Step 5: Solve for x
    x = 86,709,541.77/9,965.70
  6. Step 6: Final answer
    x = 8,700.80

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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.