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Finding the Fourth Proportional to 9,970.74, 14,988.96 and 8,330.49

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Solution

The fourth proportional to 9,970.74, 14,988.96 and 8,330.49 is: 12,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.74 : 14,988.96 = 8,330.49 : x
  2. Step 2: Convert to fraction form
    9,970.74/14,988.96 = 8,330.49/x
  3. Step 3: Cross multiply
    9,970.74x = 14,988.96 × 8,330.49
  4. Step 4: Simplify right side
    9,970.74x = 124,865,381.39
  5. Step 5: Solve for x
    x = 124,865,381.39/9,970.74
  6. Step 6: Final answer
    x = 12,523.18

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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.