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Finding the Fourth Proportional to 6,438.67, 8,886.50 and 4,675.40

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Solution

The fourth proportional to 6,438.67, 8,886.50 and 4,675.40 is: 6,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.67 : 8,886.50 = 4,675.40 : x
  2. Step 2: Convert to fraction form
    6,438.67/8,886.50 = 4,675.40/x
  3. Step 3: Cross multiply
    6,438.67x = 8,886.50 × 4,675.40
  4. Step 4: Simplify right side
    6,438.67x = 41,547,925.15
  5. Step 5: Solve for x
    x = 41,547,925.15/6,438.67
  6. Step 6: Final answer
    x = 6,452.88

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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.