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Finding the Fourth Proportional to 4,465.70, 6,697.70 and 1,543.40

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Solution

The fourth proportional to 4,465.70, 6,697.70 and 1,543.40 is: 2,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.70 : 6,697.70 = 1,543.40 : x
  2. Step 2: Convert to fraction form
    4,465.70/6,697.70 = 1,543.40/x
  3. Step 3: Cross multiply
    4,465.70x = 6,697.70 × 1,543.40
  4. Step 4: Simplify right side
    4,465.70x = 10,337,222.46
  5. Step 5: Solve for x
    x = 10,337,222.46/4,465.70
  6. Step 6: Final answer
    x = 2,314.80

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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.