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Finding the Fourth Proportional to 7,901, 10,903.22 and 4,316

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Solution

The fourth proportional to 7,901, 10,903.22 and 4,316 is: 5,955.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901 : 10,903.22 = 4,316 : x
  2. Step 2: Convert to fraction form
    7,901/10,903.22 = 4,316/x
  3. Step 3: Cross multiply
    7,901x = 10,903.22 × 4,316
  4. Step 4: Simplify right side
    7,901x = 47,058,297.52
  5. Step 5: Solve for x
    x = 47,058,297.52/7,901
  6. Step 6: Final answer
    x = 5,955.99

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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.