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Finding the Fourth Proportional to 1,547.32, 2,135.18 and 884.02

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Solution

The fourth proportional to 1,547.32, 2,135.18 and 884.02 is: 1,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.32 : 2,135.18 = 884.02 : x
  2. Step 2: Convert to fraction form
    1,547.32/2,135.18 = 884.02/x
  3. Step 3: Cross multiply
    1,547.32x = 2,135.18 × 884.02
  4. Step 4: Simplify right side
    1,547.32x = 1,887,541.82
  5. Step 5: Solve for x
    x = 1,887,541.82/1,547.32
  6. Step 6: Final answer
    x = 1,219.88

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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.