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Finding the Fourth Proportional to 9,818, 14,727 and 2,892.40

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Solution

The fourth proportional to 9,818, 14,727 and 2,892.40 is: 4,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818 : 14,727 = 2,892.40 : x
  2. Step 2: Convert to fraction form
    9,818/14,727 = 2,892.40/x
  3. Step 3: Cross multiply
    9,818x = 14,727 × 2,892.40
  4. Step 4: Simplify right side
    9,818x = 42,596,374.80
  5. Step 5: Solve for x
    x = 42,596,374.80/9,818
  6. Step 6: Final answer
    x = 4,338.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.