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Finding the Fourth Proportional to 12,653.40, 18,980.10 and 9,700.95

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Solution

The fourth proportional to 12,653.40, 18,980.10 and 9,700.95 is: 14,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.40 : 18,980.10 = 9,700.95 : x
  2. Step 2: Convert to fraction form
    12,653.40/18,980.10 = 9,700.95/x
  3. Step 3: Cross multiply
    12,653.40x = 18,980.10 × 9,700.95
  4. Step 4: Simplify right side
    12,653.40x = 184,125,001.10
  5. Step 5: Solve for x
    x = 184,125,001.10/12,653.40
  6. Step 6: Final answer
    x = 14,551.43

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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.