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Finding the Fourth Proportional to 5,406.59, 8,109.95 and 1,510.76

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Solution

The fourth proportional to 5,406.59, 8,109.95 and 1,510.76 is: 2,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.59 : 8,109.95 = 1,510.76 : x
  2. Step 2: Convert to fraction form
    5,406.59/8,109.95 = 1,510.76/x
  3. Step 3: Cross multiply
    5,406.59x = 8,109.95 × 1,510.76
  4. Step 4: Simplify right side
    5,406.59x = 12,252,139.96
  5. Step 5: Solve for x
    x = 12,252,139.96/5,406.59
  6. Step 6: Final answer
    x = 2,266.15

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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.