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Finding the Fourth Proportional to 10,384.84, 15,503.28 and 10,020.32

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Solution

The fourth proportional to 10,384.84, 15,503.28 and 10,020.32 is: 14,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.84 : 15,503.28 = 10,020.32 : x
  2. Step 2: Convert to fraction form
    10,384.84/15,503.28 = 10,020.32/x
  3. Step 3: Cross multiply
    10,384.84x = 15,503.28 × 10,020.32
  4. Step 4: Simplify right side
    10,384.84x = 155,347,826.65
  5. Step 5: Solve for x
    x = 155,347,826.65/10,384.84
  6. Step 6: Final answer
    x = 14,959.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.