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Finding the Fourth Proportional to 18,547.70, 27,821.55 and 13,007.30

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Solution

The fourth proportional to 18,547.70, 27,821.55 and 13,007.30 is: 19,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.70 : 27,821.55 = 13,007.30 : x
  2. Step 2: Convert to fraction form
    18,547.70/27,821.55 = 13,007.30/x
  3. Step 3: Cross multiply
    18,547.70x = 27,821.55 × 13,007.30
  4. Step 4: Simplify right side
    18,547.70x = 361,883,247.32
  5. Step 5: Solve for x
    x = 361,883,247.32/18,547.70
  6. Step 6: Final answer
    x = 19,510.95

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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.