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Finding the Fourth Proportional to 14,303.18, 19,737.84 and 7,842.79

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Solution

The fourth proportional to 14,303.18, 19,737.84 and 7,842.79 is: 10,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,303.18 : 19,737.84 = 7,842.79 : x
  2. Step 2: Convert to fraction form
    14,303.18/19,737.84 = 7,842.79/x
  3. Step 3: Cross multiply
    14,303.18x = 19,737.84 × 7,842.79
  4. Step 4: Simplify right side
    14,303.18x = 154,799,788.26
  5. Step 5: Solve for x
    x = 154,799,788.26/14,303.18
  6. Step 6: Final answer
    x = 10,822.75

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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.