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Finding the Fourth Proportional to 6,999.88, 9,656.71 and 4,730.50

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Solution

The fourth proportional to 6,999.88, 9,656.71 and 4,730.50 is: 6,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.88 : 9,656.71 = 4,730.50 : x
  2. Step 2: Convert to fraction form
    6,999.88/9,656.71 = 4,730.50/x
  3. Step 3: Cross multiply
    6,999.88x = 9,656.71 × 4,730.50
  4. Step 4: Simplify right side
    6,999.88x = 45,681,066.66
  5. Step 5: Solve for x
    x = 45,681,066.66/6,999.88
  6. Step 6: Final answer
    x = 6,525.98

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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.