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Finding the Fourth Proportional to 5,702.42, 7,869.53 and 3,312.20

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Solution

The fourth proportional to 5,702.42, 7,869.53 and 3,312.20 is: 4,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.42 : 7,869.53 = 3,312.20 : x
  2. Step 2: Convert to fraction form
    5,702.42/7,869.53 = 3,312.20/x
  3. Step 3: Cross multiply
    5,702.42x = 7,869.53 × 3,312.20
  4. Step 4: Simplify right side
    5,702.42x = 26,065,457.27
  5. Step 5: Solve for x
    x = 26,065,457.27/5,702.42
  6. Step 6: Final answer
    x = 4,570.95

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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.