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Finding the Fourth Proportional to 9,972.86, 14,959.30 and 7,783.43

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Solution

The fourth proportional to 9,972.86, 14,959.30 and 7,783.43 is: 11,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.86 : 14,959.30 = 7,783.43 : x
  2. Step 2: Convert to fraction form
    9,972.86/14,959.30 = 7,783.43/x
  3. Step 3: Cross multiply
    9,972.86x = 14,959.30 × 7,783.43
  4. Step 4: Simplify right side
    9,972.86x = 116,434,682.34
  5. Step 5: Solve for x
    x = 116,434,682.34/9,972.86
  6. Step 6: Final answer
    x = 11,675.15

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1.5x scale

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.