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Finding the Fourth Proportional to 9,045.78, 13,571.74 and 5,710.15

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Solution

The fourth proportional to 9,045.78, 13,571.74 and 5,710.15 is: 8,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.78 : 13,571.74 = 5,710.15 : x
  2. Step 2: Convert to fraction form
    9,045.78/13,571.74 = 5,710.15/x
  3. Step 3: Cross multiply
    9,045.78x = 13,571.74 × 5,710.15
  4. Step 4: Simplify right side
    9,045.78x = 77,496,671.16
  5. Step 5: Solve for x
    x = 77,496,671.16/9,045.78
  6. Step 6: Final answer
    x = 8,567.16

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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.