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Finding the Fourth Proportional to 8,303.30, 12,457.63 and 4,971.03

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Solution

The fourth proportional to 8,303.30, 12,457.63 and 4,971.03 is: 7,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.30 : 12,457.63 = 4,971.03 : x
  2. Step 2: Convert to fraction form
    8,303.30/12,457.63 = 4,971.03/x
  3. Step 3: Cross multiply
    8,303.30x = 12,457.63 × 4,971.03
  4. Step 4: Simplify right side
    8,303.30x = 61,927,190.17
  5. Step 5: Solve for x
    x = 61,927,190.17/8,303.30
  6. Step 6: Final answer
    x = 7,458.15

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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.