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Finding the Fourth Proportional to 6,488.48, 8,934.48 and 5,438.72

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Solution

The fourth proportional to 6,488.48, 8,934.48 and 5,438.72 is: 7,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.48 : 8,934.48 = 5,438.72 : x
  2. Step 2: Convert to fraction form
    6,488.48/8,934.48 = 5,438.72/x
  3. Step 3: Cross multiply
    6,488.48x = 8,934.48 × 5,438.72
  4. Step 4: Simplify right side
    6,488.48x = 48,592,135.07
  5. Step 5: Solve for x
    x = 48,592,135.07/6,488.48
  6. Step 6: Final answer
    x = 7,488.99

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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.