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Finding the Fourth Proportional to 5,302.84, 7,953.65 and 1,407.55

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Solution

The fourth proportional to 5,302.84, 7,953.65 and 1,407.55 is: 2,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.84 : 7,953.65 = 1,407.55 : x
  2. Step 2: Convert to fraction form
    5,302.84/7,953.65 = 1,407.55/x
  3. Step 3: Cross multiply
    5,302.84x = 7,953.65 × 1,407.55
  4. Step 4: Simplify right side
    5,302.84x = 11,195,113.25
  5. Step 5: Solve for x
    x = 11,195,113.25/5,302.84
  6. Step 6: Final answer
    x = 2,111.16

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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.