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Finding the Fourth Proportional to 10,894.64, 15,030.24 and 6,411.28

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Solution

The fourth proportional to 10,894.64, 15,030.24 and 6,411.28 is: 8,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.64 : 15,030.24 = 6,411.28 : x
  2. Step 2: Convert to fraction form
    10,894.64/15,030.24 = 6,411.28/x
  3. Step 3: Cross multiply
    10,894.64x = 15,030.24 × 6,411.28
  4. Step 4: Simplify right side
    10,894.64x = 96,363,077.11
  5. Step 5: Solve for x
    x = 96,363,077.11/10,894.64
  6. Step 6: Final answer
    x = 8,845.00

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1.5x scale

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.