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Finding the Fourth Proportional to 5,802.64, 8,703.80 and 1,420.16

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Solution

The fourth proportional to 5,802.64, 8,703.80 and 1,420.16 is: 2,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.64 : 8,703.80 = 1,420.16 : x
  2. Step 2: Convert to fraction form
    5,802.64/8,703.80 = 1,420.16/x
  3. Step 3: Cross multiply
    5,802.64x = 8,703.80 × 1,420.16
  4. Step 4: Simplify right side
    5,802.64x = 12,360,788.61
  5. Step 5: Solve for x
    x = 12,360,788.61/5,802.64
  6. Step 6: Final answer
    x = 2,130.20

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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.