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Finding the Fourth Proportional to 6,561.60, 9,842.40 and 1,944

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Solution

The fourth proportional to 6,561.60, 9,842.40 and 1,944 is: 2,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.60 : 9,842.40 = 1,944 : x
  2. Step 2: Convert to fraction form
    6,561.60/9,842.40 = 1,944/x
  3. Step 3: Cross multiply
    6,561.60x = 9,842.40 × 1,944
  4. Step 4: Simplify right side
    6,561.60x = 19,133,625.60
  5. Step 5: Solve for x
    x = 19,133,625.60/6,561.60
  6. Step 6: Final answer
    x = 2,916.00

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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.