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Finding the Fourth Proportional to 13,190, 19,779.50 and 4,870.50

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Solution

The fourth proportional to 13,190, 19,779.50 and 4,870.50 is: 7,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190 : 19,779.50 = 4,870.50 : x
  2. Step 2: Convert to fraction form
    13,190/19,779.50 = 4,870.50/x
  3. Step 3: Cross multiply
    13,190x = 19,779.50 × 4,870.50
  4. Step 4: Simplify right side
    13,190x = 96,336,054.75
  5. Step 5: Solve for x
    x = 96,336,054.75/13,190
  6. Step 6: Final answer
    x = 7,303.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.