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Finding the Fourth Proportional to 9,315.77, 13,973.88 and 3,471.21

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Solution

The fourth proportional to 9,315.77, 13,973.88 and 3,471.21 is: 5,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.77 : 13,973.88 = 3,471.21 : x
  2. Step 2: Convert to fraction form
    9,315.77/13,973.88 = 3,471.21/x
  3. Step 3: Cross multiply
    9,315.77x = 13,973.88 × 3,471.21
  4. Step 4: Simplify right side
    9,315.77x = 48,506,271.99
  5. Step 5: Solve for x
    x = 48,506,271.99/9,315.77
  6. Step 6: Final answer
    x = 5,206.90

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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.