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Finding the Fourth Proportional to 10,643.19, 14,678.01 and 6,664.65

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Solution

The fourth proportional to 10,643.19, 14,678.01 and 6,664.65 is: 9,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.19 : 14,678.01 = 6,664.65 : x
  2. Step 2: Convert to fraction form
    10,643.19/14,678.01 = 6,664.65/x
  3. Step 3: Cross multiply
    10,643.19x = 14,678.01 × 6,664.65
  4. Step 4: Simplify right side
    10,643.19x = 97,823,799.35
  5. Step 5: Solve for x
    x = 97,823,799.35/10,643.19
  6. Step 6: Final answer
    x = 9,191.21

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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.