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Finding the Fourth Proportional to 10,653.80, 14,705.70 and 7,117.80

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Solution

The fourth proportional to 10,653.80, 14,705.70 and 7,117.80 is: 9,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.80 : 14,705.70 = 7,117.80 : x
  2. Step 2: Convert to fraction form
    10,653.80/14,705.70 = 7,117.80/x
  3. Step 3: Cross multiply
    10,653.80x = 14,705.70 × 7,117.80
  4. Step 4: Simplify right side
    10,653.80x = 104,672,231.46
  5. Step 5: Solve for x
    x = 104,672,231.46/10,653.80
  6. Step 6: Final answer
    x = 9,824.87

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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.