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Finding the Fourth Proportional to 9,681.84, 14,540 and 7,930.16

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Solution

The fourth proportional to 9,681.84, 14,540 and 7,930.16 is: 11,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.84 : 14,540 = 7,930.16 : x
  2. Step 2: Convert to fraction form
    9,681.84/14,540 = 7,930.16/x
  3. Step 3: Cross multiply
    9,681.84x = 14,540 × 7,930.16
  4. Step 4: Simplify right side
    9,681.84x = 115,304,526.40
  5. Step 5: Solve for x
    x = 115,304,526.40/9,681.84
  6. Step 6: Final answer
    x = 11,909.36

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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.