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Finding the Fourth Proportional to 5,802.58, 8,703.84 and 1,420.06

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Solution

The fourth proportional to 5,802.58, 8,703.84 and 1,420.06 is: 2,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.58 : 8,703.84 = 1,420.06 : x
  2. Step 2: Convert to fraction form
    5,802.58/8,703.84 = 1,420.06/x
  3. Step 3: Cross multiply
    5,802.58x = 8,703.84 × 1,420.06
  4. Step 4: Simplify right side
    5,802.58x = 12,359,975.03
  5. Step 5: Solve for x
    x = 12,359,975.03/5,802.58
  6. Step 6: Final answer
    x = 2,130.08

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