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Finding the Fourth Proportional to 10,368.81, 14,314.83 and 6,838.20

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Solution

The fourth proportional to 10,368.81, 14,314.83 and 6,838.20 is: 9,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.81 : 14,314.83 = 6,838.20 : x
  2. Step 2: Convert to fraction form
    10,368.81/14,314.83 = 6,838.20/x
  3. Step 3: Cross multiply
    10,368.81x = 14,314.83 × 6,838.20
  4. Step 4: Simplify right side
    10,368.81x = 97,887,670.51
  5. Step 5: Solve for x
    x = 97,887,670.51/10,368.81
  6. Step 6: Final answer
    x = 9,440.59

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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.