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Finding the Fourth Proportional to 13,460.51, 18,574.88 and 8,983.64

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Solution

The fourth proportional to 13,460.51, 18,574.88 and 8,983.64 is: 12,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.51 : 18,574.88 = 8,983.64 : x
  2. Step 2: Convert to fraction form
    13,460.51/18,574.88 = 8,983.64/x
  3. Step 3: Cross multiply
    13,460.51x = 18,574.88 × 8,983.64
  4. Step 4: Simplify right side
    13,460.51x = 166,869,897.17
  5. Step 5: Solve for x
    x = 166,869,897.17/13,460.51
  6. Step 6: Final answer
    x = 12,397.00

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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.