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Finding the Fourth Proportional to 7,539.61, 10,405.22 and 4,182.40

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Solution

The fourth proportional to 7,539.61, 10,405.22 and 4,182.40 is: 5,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.61 : 10,405.22 = 4,182.40 : x
  2. Step 2: Convert to fraction form
    7,539.61/10,405.22 = 4,182.40/x
  3. Step 3: Cross multiply
    7,539.61x = 10,405.22 × 4,182.40
  4. Step 4: Simplify right side
    7,539.61x = 43,518,792.13
  5. Step 5: Solve for x
    x = 43,518,792.13/7,539.61
  6. Step 6: Final answer
    x = 5,772.02

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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.