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Finding the Fourth Proportional to 9,920.84, 13,686.42 and 6,143

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Solution

The fourth proportional to 9,920.84, 13,686.42 and 6,143 is: 8,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.84 : 13,686.42 = 6,143 : x
  2. Step 2: Convert to fraction form
    9,920.84/13,686.42 = 6,143/x
  3. Step 3: Cross multiply
    9,920.84x = 13,686.42 × 6,143
  4. Step 4: Simplify right side
    9,920.84x = 84,075,678.06
  5. Step 5: Solve for x
    x = 84,075,678.06/9,920.84
  6. Step 6: Final answer
    x = 8,474.65

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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.