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Finding the Fourth Proportional to 9,280.10, 13,970.74 and 8,463.62

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Solution

The fourth proportional to 9,280.10, 13,970.74 and 8,463.62 is: 12,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.10 : 13,970.74 = 8,463.62 : x
  2. Step 2: Convert to fraction form
    9,280.10/13,970.74 = 8,463.62/x
  3. Step 3: Cross multiply
    9,280.10x = 13,970.74 × 8,463.62
  4. Step 4: Simplify right side
    9,280.10x = 118,243,034.48
  5. Step 5: Solve for x
    x = 118,243,034.48/9,280.10
  6. Step 6: Final answer
    x = 12,741.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.