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Finding the Fourth Proportional to 14,089.70, 19,443.75 and 7,802.30

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Solution

The fourth proportional to 14,089.70, 19,443.75 and 7,802.30 is: 10,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.70 : 19,443.75 = 7,802.30 : x
  2. Step 2: Convert to fraction form
    14,089.70/19,443.75 = 7,802.30/x
  3. Step 3: Cross multiply
    14,089.70x = 19,443.75 × 7,802.30
  4. Step 4: Simplify right side
    14,089.70x = 151,705,970.63
  5. Step 5: Solve for x
    x = 151,705,970.63/14,089.70
  6. Step 6: Final answer
    x = 10,767.15

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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.