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Finding the Fourth Proportional to 6,472, 8,931.36 and 3,528

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Solution

The fourth proportional to 6,472, 8,931.36 and 3,528 is: 4,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472 : 8,931.36 = 3,528 : x
  2. Step 2: Convert to fraction form
    6,472/8,931.36 = 3,528/x
  3. Step 3: Cross multiply
    6,472x = 8,931.36 × 3,528
  4. Step 4: Simplify right side
    6,472x = 31,509,838.08
  5. Step 5: Solve for x
    x = 31,509,838.08/6,472
  6. Step 6: Final answer
    x = 4,868.64

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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.