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Finding the Fourth Proportional to 9,935, 13,710.66 and 5,686.84

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Solution

The fourth proportional to 9,935, 13,710.66 and 5,686.84 is: 7,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935 : 13,710.66 = 5,686.84 : x
  2. Step 2: Convert to fraction form
    9,935/13,710.66 = 5,686.84/x
  3. Step 3: Cross multiply
    9,935x = 13,710.66 × 5,686.84
  4. Step 4: Simplify right side
    9,935x = 77,970,329.71
  5. Step 5: Solve for x
    x = 77,970,329.71/9,935
  6. Step 6: Final answer
    x = 7,848.05

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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.