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Finding the Fourth Proportional to 10,851.80, 14,973.63 and 6,135.98

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Solution

The fourth proportional to 10,851.80, 14,973.63 and 6,135.98 is: 8,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.80 : 14,973.63 = 6,135.98 : x
  2. Step 2: Convert to fraction form
    10,851.80/14,973.63 = 6,135.98/x
  3. Step 3: Cross multiply
    10,851.80x = 14,973.63 × 6,135.98
  4. Step 4: Simplify right side
    10,851.80x = 91,877,894.21
  5. Step 5: Solve for x
    x = 91,877,894.21/10,851.80
  6. Step 6: Final answer
    x = 8,466.60

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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.