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Finding the Fourth Proportional to 15,709.81, 21,681.05 and 8,994.10

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Solution

The fourth proportional to 15,709.81, 21,681.05 and 8,994.10 is: 12,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.81 : 21,681.05 = 8,994.10 : x
  2. Step 2: Convert to fraction form
    15,709.81/21,681.05 = 8,994.10/x
  3. Step 3: Cross multiply
    15,709.81x = 21,681.05 × 8,994.10
  4. Step 4: Simplify right side
    15,709.81x = 195,001,531.81
  5. Step 5: Solve for x
    x = 195,001,531.81/15,709.81
  6. Step 6: Final answer
    x = 12,412.72

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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.