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Finding the Fourth Proportional to 10,802.30, 14,902.79 and 6,612.98

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Solution

The fourth proportional to 10,802.30, 14,902.79 and 6,612.98 is: 9,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.30 : 14,902.79 = 6,612.98 : x
  2. Step 2: Convert to fraction form
    10,802.30/14,902.79 = 6,612.98/x
  3. Step 3: Cross multiply
    10,802.30x = 14,902.79 × 6,612.98
  4. Step 4: Simplify right side
    10,802.30x = 98,551,852.21
  5. Step 5: Solve for x
    x = 98,551,852.21/10,802.30
  6. Step 6: Final answer
    x = 9,123.23

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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.