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Finding the Fourth Proportional to 14,316, 19,764.72 and 9,356.64

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Solution

The fourth proportional to 14,316, 19,764.72 and 9,356.64 is: 12,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316 : 19,764.72 = 9,356.64 : x
  2. Step 2: Convert to fraction form
    14,316/19,764.72 = 9,356.64/x
  3. Step 3: Cross multiply
    14,316x = 19,764.72 × 9,356.64
  4. Step 4: Simplify right side
    14,316x = 184,931,369.74
  5. Step 5: Solve for x
    x = 184,931,369.74/14,316
  6. Step 6: Final answer
    x = 12,917.81

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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.