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Finding the Fourth Proportional to 10,585.79, 14,575.14 and 8,989.08

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Solution

The fourth proportional to 10,585.79, 14,575.14 and 8,989.08 is: 12,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.79 : 14,575.14 = 8,989.08 : x
  2. Step 2: Convert to fraction form
    10,585.79/14,575.14 = 8,989.08/x
  3. Step 3: Cross multiply
    10,585.79x = 14,575.14 × 8,989.08
  4. Step 4: Simplify right side
    10,585.79x = 131,017,044.81
  5. Step 5: Solve for x
    x = 131,017,044.81/10,585.79
  6. Step 6: Final answer
    x = 12,376.69

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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.