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Finding the Fourth Proportional to 9,321, 13,970.10 and 4,384.08

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Solution

The fourth proportional to 9,321, 13,970.10 and 4,384.08 is: 6,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321 : 13,970.10 = 4,384.08 : x
  2. Step 2: Convert to fraction form
    9,321/13,970.10 = 4,384.08/x
  3. Step 3: Cross multiply
    9,321x = 13,970.10 × 4,384.08
  4. Step 4: Simplify right side
    9,321x = 61,246,036.01
  5. Step 5: Solve for x
    x = 61,246,036.01/9,321
  6. Step 6: Final answer
    x = 6,570.76

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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.