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Finding the Fourth Proportional to 9,555.35, 14,332.50 and 2,980.78

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Solution

The fourth proportional to 9,555.35, 14,332.50 and 2,980.78 is: 4,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.35 : 14,332.50 = 2,980.78 : x
  2. Step 2: Convert to fraction form
    9,555.35/14,332.50 = 2,980.78/x
  3. Step 3: Cross multiply
    9,555.35x = 14,332.50 × 2,980.78
  4. Step 4: Simplify right side
    9,555.35x = 42,721,957.69
  5. Step 5: Solve for x
    x = 42,721,957.69/9,555.35
  6. Step 6: Final answer
    x = 4,471.00

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