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Finding the Fourth Proportional to 12,315.84, 17,002.08 and 9,621.12

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Solution

The fourth proportional to 12,315.84, 17,002.08 and 9,621.12 is: 13,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.84 : 17,002.08 = 9,621.12 : x
  2. Step 2: Convert to fraction form
    12,315.84/17,002.08 = 9,621.12/x
  3. Step 3: Cross multiply
    12,315.84x = 17,002.08 × 9,621.12
  4. Step 4: Simplify right side
    12,315.84x = 163,579,051.93
  5. Step 5: Solve for x
    x = 163,579,051.93/12,315.84
  6. Step 6: Final answer
    x = 13,282.01

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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.