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Finding the Fourth Proportional to 9,972.99, 13,762.78 and 5,497.00

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Solution

The fourth proportional to 9,972.99, 13,762.78 and 5,497.00 is: 7,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.99 : 13,762.78 = 5,497.00 : x
  2. Step 2: Convert to fraction form
    9,972.99/13,762.78 = 5,497.00/x
  3. Step 3: Cross multiply
    9,972.99x = 13,762.78 × 5,497.00
  4. Step 4: Simplify right side
    9,972.99x = 75,653,953.51
  5. Step 5: Solve for x
    x = 75,653,953.51/9,972.99
  6. Step 6: Final answer
    x = 7,585.88

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1.5x scale

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.