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Finding the Fourth Proportional to 9,687, 13,366.38 and 5,707.80

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Solution

The fourth proportional to 9,687, 13,366.38 and 5,707.80 is: 7,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687 : 13,366.38 = 5,707.80 : x
  2. Step 2: Convert to fraction form
    9,687/13,366.38 = 5,707.80/x
  3. Step 3: Cross multiply
    9,687x = 13,366.38 × 5,707.80
  4. Step 4: Simplify right side
    9,687x = 76,292,623.76
  5. Step 5: Solve for x
    x = 76,292,623.76/9,687
  6. Step 6: Final answer
    x = 7,875.77

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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.