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Finding the Fourth Proportional to 12,528, 17,288.64 and 7,560

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Solution

The fourth proportional to 12,528, 17,288.64 and 7,560 is: 10,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528 : 17,288.64 = 7,560 : x
  2. Step 2: Convert to fraction form
    12,528/17,288.64 = 7,560/x
  3. Step 3: Cross multiply
    12,528x = 17,288.64 × 7,560
  4. Step 4: Simplify right side
    12,528x = 130,702,118.40
  5. Step 5: Solve for x
    x = 130,702,118.40/12,528
  6. Step 6: Final answer
    x = 10,432.80

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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.