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Finding the Fourth Proportional to 3,503.99, 5,256.90 and 1,312.91

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Solution

The fourth proportional to 3,503.99, 5,256.90 and 1,312.91 is: 1,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.99 : 5,256.90 = 1,312.91 : x
  2. Step 2: Convert to fraction form
    3,503.99/5,256.90 = 1,312.91/x
  3. Step 3: Cross multiply
    3,503.99x = 5,256.90 × 1,312.91
  4. Step 4: Simplify right side
    3,503.99x = 6,901,830.01
  5. Step 5: Solve for x
    x = 6,901,830.01/3,503.99
  6. Step 6: Final answer
    x = 1,969.70

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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.