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Finding the Fourth Proportional to 10,639.75, 15,973.76 and 9,089.71

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Solution

The fourth proportional to 10,639.75, 15,973.76 and 9,089.71 is: 13,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.75 : 15,973.76 = 9,089.71 : x
  2. Step 2: Convert to fraction form
    10,639.75/15,973.76 = 9,089.71/x
  3. Step 3: Cross multiply
    10,639.75x = 15,973.76 × 9,089.71
  4. Step 4: Simplify right side
    10,639.75x = 145,196,800.56
  5. Step 5: Solve for x
    x = 145,196,800.56/10,639.75
  6. Step 6: Final answer
    x = 13,646.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.