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Finding the Fourth Proportional to 7,112.61, 9,805.86 and 4,985.28

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Solution

The fourth proportional to 7,112.61, 9,805.86 and 4,985.28 is: 6,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.61 : 9,805.86 = 4,985.28 : x
  2. Step 2: Convert to fraction form
    7,112.61/9,805.86 = 4,985.28/x
  3. Step 3: Cross multiply
    7,112.61x = 9,805.86 × 4,985.28
  4. Step 4: Simplify right side
    7,112.61x = 48,884,957.74
  5. Step 5: Solve for x
    x = 48,884,957.74/7,112.61
  6. Step 6: Final answer
    x = 6,873.00

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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.