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Finding the Fourth Proportional to 10,402, 14,355.63 and 5,925.94

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Solution

The fourth proportional to 10,402, 14,355.63 and 5,925.94 is: 8,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 14,355.63 = 5,925.94 : x
  2. Step 2: Convert to fraction form
    10,402/14,355.63 = 5,925.94/x
  3. Step 3: Cross multiply
    10,402x = 14,355.63 × 5,925.94
  4. Step 4: Simplify right side
    10,402x = 85,070,602.04
  5. Step 5: Solve for x
    x = 85,070,602.04/10,402
  6. Step 6: Final answer
    x = 8,178.29

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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.