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Finding the Fourth Proportional to 14,352, 19,798.40 and 9,319.04

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Solution

The fourth proportional to 14,352, 19,798.40 and 9,319.04 is: 12,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352 : 19,798.40 = 9,319.04 : x
  2. Step 2: Convert to fraction form
    14,352/19,798.40 = 9,319.04/x
  3. Step 3: Cross multiply
    14,352x = 19,798.40 × 9,319.04
  4. Step 4: Simplify right side
    14,352x = 184,502,081.54
  5. Step 5: Solve for x
    x = 184,502,081.54/14,352
  6. Step 6: Final answer
    x = 12,855.50

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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.