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Finding the Fourth Proportional to 3,510.53, 5,263.86 and 1,430

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Solution

The fourth proportional to 3,510.53, 5,263.86 and 1,430 is: 2,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.53 : 5,263.86 = 1,430 : x
  2. Step 2: Convert to fraction form
    3,510.53/5,263.86 = 1,430/x
  3. Step 3: Cross multiply
    3,510.53x = 5,263.86 × 1,430
  4. Step 4: Simplify right side
    3,510.53x = 7,527,319.80
  5. Step 5: Solve for x
    x = 7,527,319.80/3,510.53
  6. Step 6: Final answer
    x = 2,144.21

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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.