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Finding the Fourth Proportional to 10,182.88, 14,058.72 and 7,820.32

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Solution

The fourth proportional to 10,182.88, 14,058.72 and 7,820.32 is: 10,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.88 : 14,058.72 = 7,820.32 : x
  2. Step 2: Convert to fraction form
    10,182.88/14,058.72 = 7,820.32/x
  3. Step 3: Cross multiply
    10,182.88x = 14,058.72 × 7,820.32
  4. Step 4: Simplify right side
    10,182.88x = 109,943,689.19
  5. Step 5: Solve for x
    x = 109,943,689.19/10,182.88
  6. Step 6: Final answer
    x = 10,796.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.