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Finding the Fourth Proportional to 10,510.48, 15,719.22 and 9,348.64

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Solution

The fourth proportional to 10,510.48, 15,719.22 and 9,348.64 is: 13,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.48 : 15,719.22 = 9,348.64 : x
  2. Step 2: Convert to fraction form
    10,510.48/15,719.22 = 9,348.64/x
  3. Step 3: Cross multiply
    10,510.48x = 15,719.22 × 9,348.64
  4. Step 4: Simplify right side
    10,510.48x = 146,953,328.86
  5. Step 5: Solve for x
    x = 146,953,328.86/10,510.48
  6. Step 6: Final answer
    x = 13,981.60

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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.