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Finding the Fourth Proportional to 11,526.81, 15,914.79 and 8,705.58

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Solution

The fourth proportional to 11,526.81, 15,914.79 and 8,705.58 is: 12,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.81 : 15,914.79 = 8,705.58 : x
  2. Step 2: Convert to fraction form
    11,526.81/15,914.79 = 8,705.58/x
  3. Step 3: Cross multiply
    11,526.81x = 15,914.79 × 8,705.58
  4. Step 4: Simplify right side
    11,526.81x = 138,547,477.53
  5. Step 5: Solve for x
    x = 138,547,477.53/11,526.81
  6. Step 6: Final answer
    x = 12,019.59

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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.