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Finding the Fourth Proportional to 4,338.72, 6,506.72 and 1,416.40

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Solution

The fourth proportional to 4,338.72, 6,506.72 and 1,416.40 is: 2,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.72 : 6,506.72 = 1,416.40 : x
  2. Step 2: Convert to fraction form
    4,338.72/6,506.72 = 1,416.40/x
  3. Step 3: Cross multiply
    4,338.72x = 6,506.72 × 1,416.40
  4. Step 4: Simplify right side
    4,338.72x = 9,216,118.21
  5. Step 5: Solve for x
    x = 9,216,118.21/4,338.72
  6. Step 6: Final answer
    x = 2,124.16

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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.