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Finding the Fourth Proportional to 10,030, 15,041.28 and 4,477.84

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Solution

The fourth proportional to 10,030, 15,041.28 and 4,477.84 is: 6,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030 : 15,041.28 = 4,477.84 : x
  2. Step 2: Convert to fraction form
    10,030/15,041.28 = 4,477.84/x
  3. Step 3: Cross multiply
    10,030x = 15,041.28 × 4,477.84
  4. Step 4: Simplify right side
    10,030x = 67,352,445.24
  5. Step 5: Solve for x
    x = 67,352,445.24/10,030
  6. Step 6: Final answer
    x = 6,715.10

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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.