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Finding the Fourth Proportional to 12,989.84, 17,931.66 and 8,280.32

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Solution

The fourth proportional to 12,989.84, 17,931.66 and 8,280.32 is: 11,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.84 : 17,931.66 = 8,280.32 : x
  2. Step 2: Convert to fraction form
    12,989.84/17,931.66 = 8,280.32/x
  3. Step 3: Cross multiply
    12,989.84x = 17,931.66 × 8,280.32
  4. Step 4: Simplify right side
    12,989.84x = 148,479,882.93
  5. Step 5: Solve for x
    x = 148,479,882.93/12,989.84
  6. Step 6: Final answer
    x = 11,430.46

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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.