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Finding the Fourth Proportional to 9,772.83, 14,605.59 and 7,145.87

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Solution

The fourth proportional to 9,772.83, 14,605.59 and 7,145.87 is: 10,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.83 : 14,605.59 = 7,145.87 : x
  2. Step 2: Convert to fraction form
    9,772.83/14,605.59 = 7,145.87/x
  3. Step 3: Cross multiply
    9,772.83x = 14,605.59 × 7,145.87
  4. Step 4: Simplify right side
    9,772.83x = 104,369,574.39
  5. Step 5: Solve for x
    x = 104,369,574.39/9,772.83
  6. Step 6: Final answer
    x = 10,679.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.