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Finding the Fourth Proportional to 15,431.84, 21,296.12 and 9,143

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Solution

The fourth proportional to 15,431.84, 21,296.12 and 9,143 is: 12,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.84 : 21,296.12 = 9,143 : x
  2. Step 2: Convert to fraction form
    15,431.84/21,296.12 = 9,143/x
  3. Step 3: Cross multiply
    15,431.84x = 21,296.12 × 9,143
  4. Step 4: Simplify right side
    15,431.84x = 194,710,425.16
  5. Step 5: Solve for x
    x = 194,710,425.16/15,431.84
  6. Step 6: Final answer
    x = 12,617.45

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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.