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Finding the Fourth Proportional to 9,972, 14,927.76 and 6,658.56

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Solution

The fourth proportional to 9,972, 14,927.76 and 6,658.56 is: 9,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 14,927.76 = 6,658.56 : x
  2. Step 2: Convert to fraction form
    9,972/14,927.76 = 6,658.56/x
  3. Step 3: Cross multiply
    9,972x = 14,927.76 × 6,658.56
  4. Step 4: Simplify right side
    9,972x = 99,397,385.63
  5. Step 5: Solve for x
    x = 99,397,385.63/9,972
  6. Step 6: Final answer
    x = 9,967.65

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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.