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Finding the Fourth Proportional to 10,068.92, 13,869.06 and 7,038.68

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Solution

The fourth proportional to 10,068.92, 13,869.06 and 7,038.68 is: 9,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.92 : 13,869.06 = 7,038.68 : x
  2. Step 2: Convert to fraction form
    10,068.92/13,869.06 = 7,038.68/x
  3. Step 3: Cross multiply
    10,068.92x = 13,869.06 × 7,038.68
  4. Step 4: Simplify right side
    10,068.92x = 97,619,875.24
  5. Step 5: Solve for x
    x = 97,619,875.24/10,068.92
  6. Step 6: Final answer
    x = 9,695.17

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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.