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Finding the Fourth Proportional to 8,681.75, 13,038.41 and 8,329.40

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Solution

The fourth proportional to 8,681.75, 13,038.41 and 8,329.40 is: 12,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.75 : 13,038.41 = 8,329.40 : x
  2. Step 2: Convert to fraction form
    8,681.75/13,038.41 = 8,329.40/x
  3. Step 3: Cross multiply
    8,681.75x = 13,038.41 × 8,329.40
  4. Step 4: Simplify right side
    8,681.75x = 108,602,132.25
  5. Step 5: Solve for x
    x = 108,602,132.25/8,681.75
  6. Step 6: Final answer
    x = 12,509.24

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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.