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Finding the Fourth Proportional to 6,509.61, 8,981.15 and 4,152.51

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Solution

The fourth proportional to 6,509.61, 8,981.15 and 4,152.51 is: 5,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.61 : 8,981.15 = 4,152.51 : x
  2. Step 2: Convert to fraction form
    6,509.61/8,981.15 = 4,152.51/x
  3. Step 3: Cross multiply
    6,509.61x = 8,981.15 × 4,152.51
  4. Step 4: Simplify right side
    6,509.61x = 37,294,294.42
  5. Step 5: Solve for x
    x = 37,294,294.42/6,509.61
  6. Step 6: Final answer
    x = 5,729.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.