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Finding the Fourth Proportional to 5,207.92, 7,810.25 and 1,510.40

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Solution

The fourth proportional to 5,207.92, 7,810.25 and 1,510.40 is: 2,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.92 : 7,810.25 = 1,510.40 : x
  2. Step 2: Convert to fraction form
    5,207.92/7,810.25 = 1,510.40/x
  3. Step 3: Cross multiply
    5,207.92x = 7,810.25 × 1,510.40
  4. Step 4: Simplify right side
    5,207.92x = 11,796,613.57
  5. Step 5: Solve for x
    x = 11,796,613.57/5,207.92
  6. Step 6: Final answer
    x = 2,265.13

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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.