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Finding the Fourth Proportional to 10,395.84, 15,599.16 and 7,946.40

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Solution

The fourth proportional to 10,395.84, 15,599.16 and 7,946.40 is: 11,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.84 : 15,599.16 = 7,946.40 : x
  2. Step 2: Convert to fraction form
    10,395.84/15,599.16 = 7,946.40/x
  3. Step 3: Cross multiply
    10,395.84x = 15,599.16 × 7,946.40
  4. Step 4: Simplify right side
    10,395.84x = 123,957,165.02
  5. Step 5: Solve for x
    x = 123,957,165.02/10,395.84
  6. Step 6: Final answer
    x = 11,923.73

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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.