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Finding the Fourth Proportional to 9,970.56, 13,776.48 and 7,890.48

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Solution

The fourth proportional to 9,970.56, 13,776.48 and 7,890.48 is: 10,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.56 : 13,776.48 = 7,890.48 : x
  2. Step 2: Convert to fraction form
    9,970.56/13,776.48 = 7,890.48/x
  3. Step 3: Cross multiply
    9,970.56x = 13,776.48 × 7,890.48
  4. Step 4: Simplify right side
    9,970.56x = 108,703,039.91
  5. Step 5: Solve for x
    x = 108,703,039.91/9,970.56
  6. Step 6: Final answer
    x = 10,902.40

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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.