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Finding the Fourth Proportional to 10,078, 13,907.64 and 5,886.28

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Solution

The fourth proportional to 10,078, 13,907.64 and 5,886.28 is: 8,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078 : 13,907.64 = 5,886.28 : x
  2. Step 2: Convert to fraction form
    10,078/13,907.64 = 5,886.28/x
  3. Step 3: Cross multiply
    10,078x = 13,907.64 × 5,886.28
  4. Step 4: Simplify right side
    10,078x = 81,864,263.18
  5. Step 5: Solve for x
    x = 81,864,263.18/10,078
  6. Step 6: Final answer
    x = 8,123.07

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1.5x scale

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.