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Finding the Fourth Proportional to 10,135.63, 13,987.46 and 5,659.30

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Solution

The fourth proportional to 10,135.63, 13,987.46 and 5,659.30 is: 7,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.63 : 13,987.46 = 5,659.30 : x
  2. Step 2: Convert to fraction form
    10,135.63/13,987.46 = 5,659.30/x
  3. Step 3: Cross multiply
    10,135.63x = 13,987.46 × 5,659.30
  4. Step 4: Simplify right side
    10,135.63x = 79,159,232.38
  5. Step 5: Solve for x
    x = 79,159,232.38/10,135.63
  6. Step 6: Final answer
    x = 7,810.00

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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.