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Finding the Fourth Proportional to 7,280, 10,047.57 and 4,138.10

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Solution

The fourth proportional to 7,280, 10,047.57 and 4,138.10 is: 5,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280 : 10,047.57 = 4,138.10 : x
  2. Step 2: Convert to fraction form
    7,280/10,047.57 = 4,138.10/x
  3. Step 3: Cross multiply
    7,280x = 10,047.57 × 4,138.10
  4. Step 4: Simplify right side
    7,280x = 41,577,849.42
  5. Step 5: Solve for x
    x = 41,577,849.42/7,280
  6. Step 6: Final answer
    x = 5,711.24

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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.